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Finding the Fourth Proportional to 485,145.60, 727,718.40 and 406,413.60

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Solution

The fourth proportional to 485,145.60, 727,718.40 and 406,413.60 is: 609,620.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    485,145.60 : 727,718.40 = 406,413.60 : x
  2. Step 2: Convert to fraction form
    485,145.60/727,718.40 = 406,413.60/x
  3. Step 3: Cross multiply
    485,145.60x = 727,718.40 × 406,413.60
  4. Step 4: Simplify right side
    485,145.60x = 295,754,654,730.24
  5. Step 5: Solve for x
    x = 295,754,654,730.24/485,145.60
  6. Step 6: Final answer
    x = 609,620.40

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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.