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Finding the Fourth Proportional to 287,825.15, 431,698.83 and 77,475.71

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Solution

The fourth proportional to 287,825.15, 431,698.83 and 77,475.71 is: 116,203.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,825.15 : 431,698.83 = 77,475.71 : x
  2. Step 2: Convert to fraction form
    287,825.15/431,698.83 = 77,475.71/x
  3. Step 3: Cross multiply
    287,825.15x = 431,698.83 × 77,475.71
  4. Step 4: Simplify right side
    287,825.15x = 33,446,173,360.42
  5. Step 5: Solve for x
    x = 33,446,173,360.42/287,825.15
  6. Step 6: Final answer
    x = 116,203.10

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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.