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Finding the Fourth Proportional to 287,897.82, 431,831.15 and 88,218.78

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Solution

The fourth proportional to 287,897.82, 431,831.15 and 88,218.78 is: 132,323.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,897.82 : 431,831.15 = 88,218.78 : x
  2. Step 2: Convert to fraction form
    287,897.82/431,831.15 = 88,218.78/x
  3. Step 3: Cross multiply
    287,897.82x = 431,831.15 × 88,218.78
  4. Step 4: Simplify right side
    287,897.82x = 38,095,617,219.00
  5. Step 5: Solve for x
    x = 38,095,617,219.00/287,897.82
  6. Step 6: Final answer
    x = 132,323.40

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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.