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Finding the Fourth Proportional to 664,296.55, 916,413.50 and 392,182.16

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Solution

The fourth proportional to 664,296.55, 916,413.50 and 392,182.16 is: 541,024.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    664,296.55 : 916,413.50 = 392,182.16 : x
  2. Step 2: Convert to fraction form
    664,296.55/916,413.50 = 392,182.16/x
  3. Step 3: Cross multiply
    664,296.55x = 916,413.50 × 392,182.16
  4. Step 4: Simplify right side
    664,296.55x = 359,401,022,281.55
  5. Step 5: Solve for x
    x = 359,401,022,281.55/664,296.55
  6. Step 6: Final answer
    x = 541,024.97

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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.