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Finding the Fourth Proportional to 498,413.51, 747,357.55 and 217,602.71

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Solution

The fourth proportional to 498,413.51, 747,357.55 and 217,602.71 is: 326,289.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,413.51 : 747,357.55 = 217,602.71 : x
  2. Step 2: Convert to fraction form
    498,413.51/747,357.55 = 217,602.71/x
  3. Step 3: Cross multiply
    498,413.51x = 747,357.55 × 217,602.71
  4. Step 4: Simplify right side
    498,413.51x = 162,627,028,218.96
  5. Step 5: Solve for x
    x = 162,627,028,218.96/498,413.51
  6. Step 6: Final answer
    x = 326,289.37

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1.5x scale

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.