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Finding the Fourth Proportional to 567,005.64, 782,503.20 and 312,356.80

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Solution

The fourth proportional to 567,005.64, 782,503.20 and 312,356.80 is: 431,071.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,005.64 : 782,503.20 = 312,356.80 : x
  2. Step 2: Convert to fraction form
    567,005.64/782,503.20 = 312,356.80/x
  3. Step 3: Cross multiply
    567,005.64x = 782,503.20 × 312,356.80
  4. Step 4: Simplify right side
    567,005.64x = 244,420,195,541.76
  5. Step 5: Solve for x
    x = 244,420,195,541.76/567,005.64
  6. Step 6: Final answer
    x = 431,071.89

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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.