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Finding the Fourth Proportional to 284,005.20, 426,007.80 and 84,356.40

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Solution

The fourth proportional to 284,005.20, 426,007.80 and 84,356.40 is: 126,534.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,005.20 : 426,007.80 = 84,356.40 : x
  2. Step 2: Convert to fraction form
    284,005.20/426,007.80 = 84,356.40/x
  3. Step 3: Cross multiply
    284,005.20x = 426,007.80 × 84,356.40
  4. Step 4: Simplify right side
    284,005.20x = 35,936,484,379.92
  5. Step 5: Solve for x
    x = 35,936,484,379.92/284,005.20
  6. Step 6: Final answer
    x = 126,534.60

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1.5x scale

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.