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Finding the Fourth Proportional to 284,707.50, 392,862.30 and 157,365.78

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Solution

The fourth proportional to 284,707.50, 392,862.30 and 157,365.78 is: 217,145.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,707.50 : 392,862.30 = 157,365.78 : x
  2. Step 2: Convert to fraction form
    284,707.50/392,862.30 = 157,365.78/x
  3. Step 3: Cross multiply
    284,707.50x = 392,862.30 × 157,365.78
  4. Step 4: Simplify right side
    284,707.50x = 61,823,082,272.09
  5. Step 5: Solve for x
    x = 61,823,082,272.09/284,707.50
  6. Step 6: Final answer
    x = 217,145.96

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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.