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Finding the Fourth Proportional to 287,043.84, 430,171.20 and 146,507.04

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Solution

The fourth proportional to 287,043.84, 430,171.20 and 146,507.04 is: 219,559.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,043.84 : 430,171.20 = 146,507.04 : x
  2. Step 2: Convert to fraction form
    287,043.84/430,171.20 = 146,507.04/x
  3. Step 3: Cross multiply
    287,043.84x = 430,171.20 × 146,507.04
  4. Step 4: Simplify right side
    287,043.84x = 63,023,109,205.25
  5. Step 5: Solve for x
    x = 63,023,109,205.25/287,043.84
  6. Step 6: Final answer
    x = 219,559.18

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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.