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Finding the Fourth Proportional to 284,563.42, 392,697.39 and 157,237.90

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Solution

The fourth proportional to 284,563.42, 392,697.39 and 157,237.90 is: 216,988.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,563.42 : 392,697.39 = 157,237.90 : x
  2. Step 2: Convert to fraction form
    284,563.42/392,697.39 = 157,237.90/x
  3. Step 3: Cross multiply
    284,563.42x = 392,697.39 × 157,237.90
  4. Step 4: Simplify right side
    284,563.42x = 61,746,912,939.08
  5. Step 5: Solve for x
    x = 61,746,912,939.08/284,563.42
  6. Step 6: Final answer
    x = 216,988.23

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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.