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Finding the Fourth Proportional to 284,243.54, 392,245.80 and 156,916.40

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Solution

The fourth proportional to 284,243.54, 392,245.80 and 156,916.40 is: 216,538.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,243.54 : 392,245.80 = 156,916.40 : x
  2. Step 2: Convert to fraction form
    284,243.54/392,245.80 = 156,916.40/x
  3. Step 3: Cross multiply
    284,243.54x = 392,245.80 × 156,916.40
  4. Step 4: Simplify right side
    284,243.54x = 61,549,798,851.12
  5. Step 5: Solve for x
    x = 61,549,798,851.12/284,243.54
  6. Step 6: Final answer
    x = 216,538.95

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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.