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Finding the Fourth Proportional to 2,578,953,809.18, 3,869,189,690.26 and 832,123,775.90

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Solution

The fourth proportional to 2,578,953,809.18, 3,869,189,690.26 and 832,123,775.90 is: 1,248,430,554.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,578,953,809.18 : 3,869,189,690.26 = 832,123,775.90 : x
  2. Step 2: Convert to fraction form
    2,578,953,809.18/3,869,189,690.26 = 832,123,775.90/x
  3. Step 3: Cross multiply
    2,578,953,809.18x = 3,869,189,690.26 × 832,123,775.90
  4. Step 4: Simplify right side
    2,578,953,809.18x = 3,219,644,734,732,502,528
  5. Step 5: Solve for x
    x = 3,219,644,734,732,502,528/2,578,953,809.18
  6. Step 6: Final answer
    x = 1,248,430,554.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.