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Finding the Fourth Proportional to 284,563.92, 392,698.08 and 157,238.40

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Solution

The fourth proportional to 284,563.92, 392,698.08 and 157,238.40 is: 216,988.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,563.92 : 392,698.08 = 157,238.40 : x
  2. Step 2: Convert to fraction form
    284,563.92/392,698.08 = 157,238.40/x
  3. Step 3: Cross multiply
    284,563.92x = 392,698.08 × 157,238.40
  4. Step 4: Simplify right side
    284,563.92x = 61,747,217,782.27
  5. Step 5: Solve for x
    x = 61,747,217,782.27/284,563.92
  6. Step 6: Final answer
    x = 216,988.92

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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.