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Finding the Fourth Proportional to 660,638.40, 912,059.28 and 434,940

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Solution

The fourth proportional to 660,638.40, 912,059.28 and 434,940 is: 600,466.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    660,638.40 : 912,059.28 = 434,940 : x
  2. Step 2: Convert to fraction form
    660,638.40/912,059.28 = 434,940/x
  3. Step 3: Cross multiply
    660,638.40x = 912,059.28 × 434,940
  4. Step 4: Simplify right side
    660,638.40x = 396,691,063,243.20
  5. Step 5: Solve for x
    x = 396,691,063,243.20/660,638.40
  6. Step 6: Final answer
    x = 600,466.25

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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.