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Finding the Fourth Proportional to 497,801,840.40, 746,065,031.40 and 442,957,129.20

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Solution

The fourth proportional to 497,801,840.40, 746,065,031.40 and 442,957,129.20 is: 663,868,225.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,801,840.40 : 746,065,031.40 = 442,957,129.20 : x
  2. Step 2: Convert to fraction form
    497,801,840.40/746,065,031.40 = 442,957,129.20/x
  3. Step 3: Cross multiply
    497,801,840.40x = 746,065,031.40 × 442,957,129.20
  4. Step 4: Simplify right side
    497,801,840.40x = 330,474,824,505,451,840
  5. Step 5: Solve for x
    x = 330,474,824,505,451,840/497,801,840.40
  6. Step 6: Final answer
    x = 663,868,225.64

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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.