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Finding the Fourth Proportional to 284,232.94, 392,242.71 and 156,909.58

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Solution

The fourth proportional to 284,232.94, 392,242.71 and 156,909.58 is: 216,535.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,232.94 : 392,242.71 = 156,909.58 : x
  2. Step 2: Convert to fraction form
    284,232.94/392,242.71 = 156,909.58/x
  3. Step 3: Cross multiply
    284,232.94x = 392,242.71 × 156,909.58
  4. Step 4: Simplify right side
    284,232.94x = 61,546,638,884.16
  5. Step 5: Solve for x
    x = 61,546,638,884.16/284,232.94
  6. Step 6: Final answer
    x = 216,535.91

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1.5x scale

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.