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Finding the Fourth Proportional to 438,356.80, 657,170.70 and 185,831.20

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Solution

The fourth proportional to 438,356.80, 657,170.70 and 185,831.20 is: 278,592.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,356.80 : 657,170.70 = 185,831.20 : x
  2. Step 2: Convert to fraction form
    438,356.80/657,170.70 = 185,831.20/x
  3. Step 3: Cross multiply
    438,356.80x = 657,170.70 × 185,831.20
  4. Step 4: Simplify right side
    438,356.80x = 122,122,819,785.84
  5. Step 5: Solve for x
    x = 122,122,819,785.84/438,356.80
  6. Step 6: Final answer
    x = 278,592.28

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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.