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Finding the Fourth Proportional to 438,471.60, 657,707.40 and 202,275.60

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Solution

The fourth proportional to 438,471.60, 657,707.40 and 202,275.60 is: 303,413.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,471.60 : 657,707.40 = 202,275.60 : x
  2. Step 2: Convert to fraction form
    438,471.60/657,707.40 = 202,275.60/x
  3. Step 3: Cross multiply
    438,471.60x = 657,707.40 × 202,275.60
  4. Step 4: Simplify right side
    438,471.60x = 133,038,158,959.44
  5. Step 5: Solve for x
    x = 133,038,158,959.44/438,471.60
  6. Step 6: Final answer
    x = 303,413.40

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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.