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Finding the Fourth Proportional to 486,140.40, 729,866.70 and 386,413.20

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Solution

The fourth proportional to 486,140.40, 729,866.70 and 386,413.20 is: 580,141.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    486,140.40 : 729,866.70 = 386,413.20 : x
  2. Step 2: Convert to fraction form
    486,140.40/729,866.70 = 386,413.20/x
  3. Step 3: Cross multiply
    486,140.40x = 729,866.70 × 386,413.20
  4. Step 4: Simplify right side
    486,140.40x = 282,030,127,120.44
  5. Step 5: Solve for x
    x = 282,030,127,120.44/486,140.40
  6. Step 6: Final answer
    x = 580,141.31

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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.