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Finding the Fourth Proportional to 287,298.80, 430,948.20 and 147,330.80

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Solution

The fourth proportional to 287,298.80, 430,948.20 and 147,330.80 is: 220,996.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,298.80 : 430,948.20 = 147,330.80 : x
  2. Step 2: Convert to fraction form
    287,298.80/430,948.20 = 147,330.80/x
  3. Step 3: Cross multiply
    287,298.80x = 430,948.20 × 147,330.80
  4. Step 4: Simplify right side
    287,298.80x = 63,491,943,064.56
  5. Step 5: Solve for x
    x = 63,491,943,064.56/287,298.80
  6. Step 6: Final answer
    x = 220,996.20

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1.5x scale

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.