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Finding the Fourth Proportional to 284,004.80, 391,925.76 and 156,694.40

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Solution

The fourth proportional to 284,004.80, 391,925.76 and 156,694.40 is: 216,237.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,004.80 : 391,925.76 = 156,694.40 : x
  2. Step 2: Convert to fraction form
    284,004.80/391,925.76 = 156,694.40/x
  3. Step 3: Cross multiply
    284,004.80x = 391,925.76 × 156,694.40
  4. Step 4: Simplify right side
    284,004.80x = 61,412,571,807.74
  5. Step 5: Solve for x
    x = 61,412,571,807.74/284,004.80
  6. Step 6: Final answer
    x = 216,237.80

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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.