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Finding the Fourth Proportional to 893,006.40, 1,339,657.20 and 413,713.20

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Solution

The fourth proportional to 893,006.40, 1,339,657.20 and 413,713.20 is: 620,638.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    893,006.40 : 1,339,657.20 = 413,713.20 : x
  2. Step 2: Convert to fraction form
    893,006.40/1,339,657.20 = 413,713.20/x
  3. Step 3: Cross multiply
    893,006.40x = 1,339,657.20 × 413,713.20
  4. Step 4: Simplify right side
    893,006.40x = 554,233,867,115.04
  5. Step 5: Solve for x
    x = 554,233,867,115.04/893,006.40
  6. Step 6: Final answer
    x = 620,638.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.