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Finding the Fourth Proportional to 287,594.19, 431,392.40 and 87,913.80

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Solution

The fourth proportional to 287,594.19, 431,392.40 and 87,913.80 is: 131,871.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,594.19 : 431,392.40 = 87,913.80 : x
  2. Step 2: Convert to fraction form
    287,594.19/431,392.40 = 87,913.80/x
  3. Step 3: Cross multiply
    287,594.19x = 431,392.40 × 87,913.80
  4. Step 4: Simplify right side
    287,594.19x = 37,925,345,175.12
  5. Step 5: Solve for x
    x = 37,925,345,175.12/287,594.19
  6. Step 6: Final answer
    x = 131,871.04

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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.