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Finding the Fourth Proportional to 285,594.78, 427,711.20 and 165,397.77

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Solution

The fourth proportional to 285,594.78, 427,711.20 and 165,397.77 is: 247,702.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,594.78 : 427,711.20 = 165,397.77 : x
  2. Step 2: Convert to fraction form
    285,594.78/427,711.20 = 165,397.77/x
  3. Step 3: Cross multiply
    285,594.78x = 427,711.20 × 165,397.77
  4. Step 4: Simplify right side
    285,594.78x = 70,742,478,684.02
  5. Step 5: Solve for x
    x = 70,742,478,684.02/285,594.78
  6. Step 6: Final answer
    x = 247,702.28

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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.