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Finding the Fourth Proportional to 304,419.12, 420,142.95 and 175,332.78

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Solution

The fourth proportional to 304,419.12, 420,142.95 and 175,332.78 is: 241,984.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,419.12 : 420,142.95 = 175,332.78 : x
  2. Step 2: Convert to fraction form
    304,419.12/420,142.95 = 175,332.78/x
  3. Step 3: Cross multiply
    304,419.12x = 420,142.95 × 175,332.78
  4. Step 4: Simplify right side
    304,419.12x = 73,664,828,443.52
  5. Step 5: Solve for x
    x = 73,664,828,443.52/304,419.12
  6. Step 6: Final answer
    x = 241,984.90

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.