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Finding the Fourth Proportional to 284,112.94, 392,065.57 and 156,785.80

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Solution

The fourth proportional to 284,112.94, 392,065.57 and 156,785.80 is: 216,358.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,112.94 : 392,065.57 = 156,785.80 : x
  2. Step 2: Convert to fraction form
    284,112.94/392,065.57 = 156,785.80/x
  3. Step 3: Cross multiply
    284,112.94x = 392,065.57 × 156,785.80
  4. Step 4: Simplify right side
    284,112.94x = 61,470,314,044.91
  5. Step 5: Solve for x
    x = 61,470,314,044.91/284,112.94
  6. Step 6: Final answer
    x = 216,358.73

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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.