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Finding the Fourth Proportional to 584,781.40, 876,734.70 and 318,842.20

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Solution

The fourth proportional to 584,781.40, 876,734.70 and 318,842.20 is: 478,024.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,781.40 : 876,734.70 = 318,842.20 : x
  2. Step 2: Convert to fraction form
    584,781.40/876,734.70 = 318,842.20/x
  3. Step 3: Cross multiply
    584,781.40x = 876,734.70 × 318,842.20
  4. Step 4: Simplify right side
    584,781.40x = 279,540,020,564.34
  5. Step 5: Solve for x
    x = 279,540,020,564.34/584,781.40
  6. Step 6: Final answer
    x = 478,024.82

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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.