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Finding the Fourth Proportional to 284,647.92, 392,814.21 and 157,323.52

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Solution

The fourth proportional to 284,647.92, 392,814.21 and 157,323.52 is: 217,106.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,647.92 : 392,814.21 = 157,323.52 : x
  2. Step 2: Convert to fraction form
    284,647.92/392,814.21 = 157,323.52/x
  3. Step 3: Cross multiply
    284,647.92x = 392,814.21 × 157,323.52
  4. Step 4: Simplify right side
    284,647.92x = 61,798,912,209.68
  5. Step 5: Solve for x
    x = 61,798,912,209.68/284,647.92
  6. Step 6: Final answer
    x = 217,106.49

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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.