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Finding the Fourth Proportional to 652,064.20, 978,672.30 and 385,491.40

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Solution

The fourth proportional to 652,064.20, 978,672.30 and 385,491.40 is: 578,577.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,064.20 : 978,672.30 = 385,491.40 : x
  2. Step 2: Convert to fraction form
    652,064.20/978,672.30 = 385,491.40/x
  3. Step 3: Cross multiply
    652,064.20x = 978,672.30 × 385,491.40
  4. Step 4: Simplify right side
    652,064.20x = 377,269,755,068.22
  5. Step 5: Solve for x
    x = 377,269,755,068.22/652,064.20
  6. Step 6: Final answer
    x = 578,577.62

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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.