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Finding the Fourth Proportional to 301,877.32, 452,831.46 and 77,239.66

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Solution

The fourth proportional to 301,877.32, 452,831.46 and 77,239.66 is: 115,863.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,877.32 : 452,831.46 = 77,239.66 : x
  2. Step 2: Convert to fraction form
    301,877.32/452,831.46 = 77,239.66/x
  3. Step 3: Cross multiply
    301,877.32x = 452,831.46 × 77,239.66
  4. Step 4: Simplify right side
    301,877.32x = 34,976,548,007.70
  5. Step 5: Solve for x
    x = 34,976,548,007.70/301,877.32
  6. Step 6: Final answer
    x = 115,863.45

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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.