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Finding the Fourth Proportional to 465,413.32, 642,346.60 and 387,765.88

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Solution

The fourth proportional to 465,413.32, 642,346.60 and 387,765.88 is: 535,180.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,413.32 : 642,346.60 = 387,765.88 : x
  2. Step 2: Convert to fraction form
    465,413.32/642,346.60 = 387,765.88/x
  3. Step 3: Cross multiply
    465,413.32x = 642,346.60 × 387,765.88
  4. Step 4: Simplify right side
    465,413.32x = 249,080,094,614.01
  5. Step 5: Solve for x
    x = 249,080,094,614.01/465,413.32
  6. Step 6: Final answer
    x = 535,180.42

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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.