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Finding the Fourth Proportional to 487,413.67, 672,572.26 and 280,749.28

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Solution

The fourth proportional to 487,413.67, 672,572.26 and 280,749.28 is: 387,400.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    487,413.67 : 672,572.26 = 280,749.28 : x
  2. Step 2: Convert to fraction form
    487,413.67/672,572.26 = 280,749.28/x
  3. Step 3: Cross multiply
    487,413.67x = 672,572.26 × 280,749.28
  4. Step 4: Simplify right side
    487,413.67x = 188,824,176,727.75
  5. Step 5: Solve for x
    x = 188,824,176,727.75/487,413.67
  6. Step 6: Final answer
    x = 387,400.24

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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.