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Finding the Fourth Proportional to 539,905,008.70, 809,857,513.05 and 356,238,999.10

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Solution

The fourth proportional to 539,905,008.70, 809,857,513.05 and 356,238,999.10 is: 534,358,498.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    539,905,008.70 : 809,857,513.05 = 356,238,999.10 : x
  2. Step 2: Convert to fraction form
    539,905,008.70/809,857,513.05 = 356,238,999.10/x
  3. Step 3: Cross multiply
    539,905,008.70x = 809,857,513.05 × 356,238,999.10
  4. Step 4: Simplify right side
    539,905,008.70x = 288,502,829,862,547,200
  5. Step 5: Solve for x
    x = 288,502,829,862,547,200/539,905,008.70
  6. Step 6: Final answer
    x = 534,358,498.65

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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.