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Finding the Fourth Proportional to 507,941.76, 700,817.76 and 400,177.28

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Solution

The fourth proportional to 507,941.76, 700,817.76 and 400,177.28 is: 552,132.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,941.76 : 700,817.76 = 400,177.28 : x
  2. Step 2: Convert to fraction form
    507,941.76/700,817.76 = 400,177.28/x
  3. Step 3: Cross multiply
    507,941.76x = 700,817.76 × 400,177.28
  4. Step 4: Simplify right side
    507,941.76x = 280,451,344,972.49
  5. Step 5: Solve for x
    x = 280,451,344,972.49/507,941.76
  6. Step 6: Final answer
    x = 552,132.88

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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.