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Finding the Fourth Proportional to 488,312.60, 731,432.10 and 405,368.60

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Solution

The fourth proportional to 488,312.60, 731,432.10 and 405,368.60 is: 607,192.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,312.60 : 731,432.10 = 405,368.60 : x
  2. Step 2: Convert to fraction form
    488,312.60/731,432.10 = 405,368.60/x
  3. Step 3: Cross multiply
    488,312.60x = 731,432.10 × 405,368.60
  4. Step 4: Simplify right side
    488,312.60x = 296,499,606,372.06
  5. Step 5: Solve for x
    x = 296,499,606,372.06/488,312.60
  6. Step 6: Final answer
    x = 607,192.21

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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.