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Finding the Fourth Proportional to 641,211.20, 884,712.48 and 414,584

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Solution

The fourth proportional to 641,211.20, 884,712.48 and 414,584 is: 572,023.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    641,211.20 : 884,712.48 = 414,584 : x
  2. Step 2: Convert to fraction form
    641,211.20/884,712.48 = 414,584/x
  3. Step 3: Cross multiply
    641,211.20x = 884,712.48 × 414,584
  4. Step 4: Simplify right side
    641,211.20x = 366,787,638,808.32
  5. Step 5: Solve for x
    x = 366,787,638,808.32/641,211.20
  6. Step 6: Final answer
    x = 572,023.13

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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.