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Finding the Fourth Proportional to 652,643.40, 978,965.10 and 386,266.80

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Solution

The fourth proportional to 652,643.40, 978,965.10 and 386,266.80 is: 579,400.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,643.40 : 978,965.10 = 386,266.80 : x
  2. Step 2: Convert to fraction form
    652,643.40/978,965.10 = 386,266.80/x
  3. Step 3: Cross multiply
    652,643.40x = 978,965.10 × 386,266.80
  4. Step 4: Simplify right side
    652,643.40x = 378,141,716,488.68
  5. Step 5: Solve for x
    x = 378,141,716,488.68/652,643.40
  6. Step 6: Final answer
    x = 579,400.20

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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.