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Finding the Fourth Proportional to 503,972,343.70, 695,484,806.90 and 292,405,148.20

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Solution

The fourth proportional to 503,972,343.70, 695,484,806.90 and 292,405,148.20 is: 403,520,829.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    503,972,343.70 : 695,484,806.90 = 292,405,148.20 : x
  2. Step 2: Convert to fraction form
    503,972,343.70/695,484,806.90 = 292,405,148.20/x
  3. Step 3: Cross multiply
    503,972,343.70x = 695,484,806.90 × 292,405,148.20
  4. Step 4: Simplify right side
    503,972,343.70x = 203,363,338,030,980,832
  5. Step 5: Solve for x
    x = 203,363,338,030,980,832/503,972,343.70
  6. Step 6: Final answer
    x = 403,520,829.21

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.