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Finding the Fourth Proportional to 652,119.30, 978,178.95 and 449,165.70

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Solution

The fourth proportional to 652,119.30, 978,178.95 and 449,165.70 is: 673,748.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,119.30 : 978,178.95 = 449,165.70 : x
  2. Step 2: Convert to fraction form
    652,119.30/978,178.95 = 449,165.70/x
  3. Step 3: Cross multiply
    652,119.30x = 978,178.95 × 449,165.70
  4. Step 4: Simplify right side
    652,119.30x = 439,364,432,802.02
  5. Step 5: Solve for x
    x = 439,364,432,802.02/652,119.30
  6. Step 6: Final answer
    x = 673,748.55

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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.