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Finding the Fourth Proportional to 402,585.81, 603,881.29 and 118,275.20

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Solution

The fourth proportional to 402,585.81, 603,881.29 and 118,275.20 is: 177,413.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,585.81 : 603,881.29 = 118,275.20 : x
  2. Step 2: Convert to fraction form
    402,585.81/603,881.29 = 118,275.20/x
  3. Step 3: Cross multiply
    402,585.81x = 603,881.29 × 118,275.20
  4. Step 4: Simplify right side
    402,585.81x = 71,424,180,351.01
  5. Step 5: Solve for x
    x = 71,424,180,351.01/402,585.81
  6. Step 6: Final answer
    x = 177,413.56

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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.