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Finding the Fourth Proportional to 650,903.20, 976,930.80 and 384,330.40

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Solution

The fourth proportional to 650,903.20, 976,930.80 and 384,330.40 is: 576,835.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    650,903.20 : 976,930.80 = 384,330.40 : x
  2. Step 2: Convert to fraction form
    650,903.20/976,930.80 = 384,330.40/x
  3. Step 3: Cross multiply
    650,903.20x = 976,930.80 × 384,330.40
  4. Step 4: Simplify right side
    650,903.20x = 375,464,205,136.32
  5. Step 5: Solve for x
    x = 375,464,205,136.32/650,903.20
  6. Step 6: Final answer
    x = 576,835.70

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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.