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Finding the Fourth Proportional to 659,897,205.10, 989,845,807.65 and 649,693,537.90

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Solution

The fourth proportional to 659,897,205.10, 989,845,807.65 and 649,693,537.90 is: 974,540,306.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    659,897,205.10 : 989,845,807.65 = 649,693,537.90 : x
  2. Step 2: Convert to fraction form
    659,897,205.10/989,845,807.65 = 649,693,537.90/x
  3. Step 3: Cross multiply
    659,897,205.10x = 989,845,807.65 × 649,693,537.90
  4. Step 4: Simplify right side
    659,897,205.10x = 643,096,424,747,611,392
  5. Step 5: Solve for x
    x = 643,096,424,747,611,392/659,897,205.10
  6. Step 6: Final answer
    x = 974,540,306.85

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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.