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Finding the Fourth Proportional to 709,248.51, 978,766.19 and 386,965.30

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Solution

The fourth proportional to 709,248.51, 978,766.19 and 386,965.30 is: 534,013.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    709,248.51 : 978,766.19 = 386,965.30 : x
  2. Step 2: Convert to fraction form
    709,248.51/978,766.19 = 386,965.30/x
  3. Step 3: Cross multiply
    709,248.51x = 978,766.19 × 386,965.30
  4. Step 4: Simplify right side
    709,248.51x = 378,748,552,343.21
  5. Step 5: Solve for x
    x = 378,748,552,343.21/709,248.51
  6. Step 6: Final answer
    x = 534,013.89

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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.