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Finding the Fourth Proportional to 570,445.68, 787,306.68 and 434,262

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Solution

The fourth proportional to 570,445.68, 787,306.68 and 434,262 is: 599,351.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    570,445.68 : 787,306.68 = 434,262 : x
  2. Step 2: Convert to fraction form
    570,445.68/787,306.68 = 434,262/x
  3. Step 3: Cross multiply
    570,445.68x = 787,306.68 × 434,262
  4. Step 4: Simplify right side
    570,445.68x = 341,897,373,470.16
  5. Step 5: Solve for x
    x = 341,897,373,470.16/570,445.68
  6. Step 6: Final answer
    x = 599,351.32

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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.