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Finding the Fourth Proportional to 284,155.57, 392,133.88 and 156,830.25

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Solution

The fourth proportional to 284,155.57, 392,133.88 and 156,830.25 is: 216,425.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,155.57 : 392,133.88 = 156,830.25 : x
  2. Step 2: Convert to fraction form
    284,155.57/392,133.88 = 156,830.25/x
  3. Step 3: Cross multiply
    284,155.57x = 392,133.88 × 156,830.25
  4. Step 4: Simplify right side
    284,155.57x = 61,498,454,041.79
  5. Step 5: Solve for x
    x = 61,498,454,041.79/284,155.57
  6. Step 6: Final answer
    x = 216,425.30

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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.