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Finding the Fourth Proportional to 282,123,415.80, 423,185,123.70 and 251,990,711.10

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Solution

The fourth proportional to 282,123,415.80, 423,185,123.70 and 251,990,711.10 is: 377,986,066.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,123,415.80 : 423,185,123.70 = 251,990,711.10 : x
  2. Step 2: Convert to fraction form
    282,123,415.80/423,185,123.70 = 251,990,711.10/x
  3. Step 3: Cross multiply
    282,123,415.80x = 423,185,123.70 × 251,990,711.10
  4. Step 4: Simplify right side
    282,123,415.80x = 106,638,720,248,104,464
  5. Step 5: Solve for x
    x = 106,638,720,248,104,464/282,123,415.80
  6. Step 6: Final answer
    x = 377,986,066.65

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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.