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Finding the Fourth Proportional to 284,759.40, 392,975.88 and 157,443.18

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Solution

The fourth proportional to 284,759.40, 392,975.88 and 157,443.18 is: 217,275.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,759.40 : 392,975.88 = 157,443.18 : x
  2. Step 2: Convert to fraction form
    284,759.40/392,975.88 = 157,443.18/x
  3. Step 3: Cross multiply
    284,759.40x = 392,975.88 × 157,443.18
  4. Step 4: Simplify right side
    284,759.40x = 61,871,372,210.50
  5. Step 5: Solve for x
    x = 61,871,372,210.50/284,759.40
  6. Step 6: Final answer
    x = 217,275.96

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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.