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Finding the Fourth Proportional to 653,999.70, 980,999.55 and 465,042.90

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Solution

The fourth proportional to 653,999.70, 980,999.55 and 465,042.90 is: 697,564.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    653,999.70 : 980,999.55 = 465,042.90 : x
  2. Step 2: Convert to fraction form
    653,999.70/980,999.55 = 465,042.90/x
  3. Step 3: Cross multiply
    653,999.70x = 980,999.55 × 465,042.90
  4. Step 4: Simplify right side
    653,999.70x = 456,206,875,630.70
  5. Step 5: Solve for x
    x = 456,206,875,630.70/653,999.70
  6. Step 6: Final answer
    x = 697,564.35

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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.