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Finding the Fourth Proportional to 540,413.60, 808,287.60 and 456,432.80

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Solution

The fourth proportional to 540,413.60, 808,287.60 and 456,432.80 is: 682,678.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,413.60 : 808,287.60 = 456,432.80 : x
  2. Step 2: Convert to fraction form
    540,413.60/808,287.60 = 456,432.80/x
  3. Step 3: Cross multiply
    540,413.60x = 808,287.60 × 456,432.80
  4. Step 4: Simplify right side
    540,413.60x = 368,928,972,473.28
  5. Step 5: Solve for x
    x = 368,928,972,473.28/540,413.60
  6. Step 6: Final answer
    x = 682,678.92

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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.