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Finding the Fourth Proportional to 498,302.80, 746,633.40 and 287,573.20

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Solution

The fourth proportional to 498,302.80, 746,633.40 and 287,573.20 is: 430,886.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,302.80 : 746,633.40 = 287,573.20 : x
  2. Step 2: Convert to fraction form
    498,302.80/746,633.40 = 287,573.20/x
  3. Step 3: Cross multiply
    498,302.80x = 746,633.40 × 287,573.20
  4. Step 4: Simplify right side
    498,302.80x = 214,711,756,064.88
  5. Step 5: Solve for x
    x = 214,711,756,064.88/498,302.80
  6. Step 6: Final answer
    x = 430,886.11

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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.