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Finding the Fourth Proportional to 284,613.78, 392,751.68 and 157,281.78

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Solution

The fourth proportional to 284,613.78, 392,751.68 and 157,281.78 is: 217,040.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,613.78 : 392,751.68 = 157,281.78 : x
  2. Step 2: Convert to fraction form
    284,613.78/392,751.68 = 157,281.78/x
  3. Step 3: Cross multiply
    284,613.78x = 392,751.68 × 157,281.78
  4. Step 4: Simplify right side
    284,613.78x = 61,772,683,328.39
  5. Step 5: Solve for x
    x = 61,772,683,328.39/284,613.78
  6. Step 6: Final answer
    x = 217,040.38

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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.