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Finding the Fourth Proportional to 488,114.94, 731,892 and 260,129.82

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Solution

The fourth proportional to 488,114.94, 731,892 and 260,129.82 is: 390,045.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,114.94 : 731,892 = 260,129.82 : x
  2. Step 2: Convert to fraction form
    488,114.94/731,892 = 260,129.82/x
  3. Step 3: Cross multiply
    488,114.94x = 731,892 × 260,129.82
  4. Step 4: Simplify right side
    488,114.94x = 190,386,934,219.44
  5. Step 5: Solve for x
    x = 190,386,934,219.44/488,114.94
  6. Step 6: Final answer
    x = 390,045.29

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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.