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Finding the Fourth Proportional to 499,436,000.40, 748,855,402.20 and 257,571,296.40

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Solution

The fourth proportional to 499,436,000.40, 748,855,402.20 and 257,571,296.40 is: 386,202,950.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,436,000.40 : 748,855,402.20 = 257,571,296.40 : x
  2. Step 2: Convert to fraction form
    499,436,000.40/748,855,402.20 = 257,571,296.40/x
  3. Step 3: Cross multiply
    499,436,000.40x = 748,855,402.20 × 257,571,296.40
  4. Step 4: Simplify right side
    499,436,000.40x = 192,883,656,760,797,440
  5. Step 5: Solve for x
    x = 192,883,656,760,797,440/499,436,000.40
  6. Step 6: Final answer
    x = 386,202,950.14

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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.