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Finding the Fourth Proportional to 284,240.67, 392,265.75 and 156,924.46

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Solution

The fourth proportional to 284,240.67, 392,265.75 and 156,924.46 is: 216,563.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,240.67 : 392,265.75 = 156,924.46 : x
  2. Step 2: Convert to fraction form
    284,240.67/392,265.75 = 156,924.46/x
  3. Step 3: Cross multiply
    284,240.67x = 392,265.75 × 156,924.46
  4. Step 4: Simplify right side
    284,240.67x = 61,556,090,995.25
  5. Step 5: Solve for x
    x = 61,556,090,995.25/284,240.67
  6. Step 6: Final answer
    x = 216,563.28

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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.