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Finding the Fourth Proportional to 284,689.20, 392,871.20 and 157,364.76

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Solution

The fourth proportional to 284,689.20, 392,871.20 and 157,364.76 is: 217,163.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,689.20 : 392,871.20 = 157,364.76 : x
  2. Step 2: Convert to fraction form
    284,689.20/392,871.20 = 157,364.76/x
  3. Step 3: Cross multiply
    284,689.20x = 392,871.20 × 157,364.76
  4. Step 4: Simplify right side
    284,689.20x = 61,824,081,312.09
  5. Step 5: Solve for x
    x = 61,824,081,312.09/284,689.20
  6. Step 6: Final answer
    x = 217,163.42

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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.