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Finding the Fourth Proportional to 304,076, 456,129.12 and 215,429.60

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Solution

The fourth proportional to 304,076, 456,129.12 and 215,429.60 is: 323,155.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,076 : 456,129.12 = 215,429.60 : x
  2. Step 2: Convert to fraction form
    304,076/456,129.12 = 215,429.60/x
  3. Step 3: Cross multiply
    304,076x = 456,129.12 × 215,429.60
  4. Step 4: Simplify right side
    304,076x = 98,263,713,869.95
  5. Step 5: Solve for x
    x = 98,263,713,869.95/304,076
  6. Step 6: Final answer
    x = 323,155.11

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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.