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Finding the Fourth Proportional to 284,308.64, 392,340.78 and 156,981.50

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Solution

The fourth proportional to 284,308.64, 392,340.78 and 156,981.50 is: 216,631.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,308.64 : 392,340.78 = 156,981.50 : x
  2. Step 2: Convert to fraction form
    284,308.64/392,340.78 = 156,981.50/x
  3. Step 3: Cross multiply
    284,308.64x = 392,340.78 × 156,981.50
  4. Step 4: Simplify right side
    284,308.64x = 61,590,244,155.57
  5. Step 5: Solve for x
    x = 61,590,244,155.57/284,308.64
  6. Step 6: Final answer
    x = 216,631.63

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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.