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Finding the Fourth Proportional to 652,642.90, 978,964.35 and 386,266.30

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Solution

The fourth proportional to 652,642.90, 978,964.35 and 386,266.30 is: 579,399.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,642.90 : 978,964.35 = 386,266.30 : x
  2. Step 2: Convert to fraction form
    652,642.90/978,964.35 = 386,266.30/x
  3. Step 3: Cross multiply
    652,642.90x = 978,964.35 × 386,266.30
  4. Step 4: Simplify right side
    652,642.90x = 378,140,937,306.41
  5. Step 5: Solve for x
    x = 378,140,937,306.41/652,642.90
  6. Step 6: Final answer
    x = 579,399.45

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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.