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Finding the Fourth Proportional to 653,012.97, 901,042.43 and 398,446.17

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Solution

The fourth proportional to 653,012.97, 901,042.43 and 398,446.17 is: 549,785.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    653,012.97 : 901,042.43 = 398,446.17 : x
  2. Step 2: Convert to fraction form
    653,012.97/901,042.43 = 398,446.17/x
  3. Step 3: Cross multiply
    653,012.97x = 901,042.43 × 398,446.17
  4. Step 4: Simplify right side
    653,012.97x = 359,016,903,248.76
  5. Step 5: Solve for x
    x = 359,016,903,248.76/653,012.97
  6. Step 6: Final answer
    x = 549,785.26

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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.