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Finding the Fourth Proportional to 709,031.04, 978,465.90 and 386,748.06

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Solution

The fourth proportional to 709,031.04, 978,465.90 and 386,748.06 is: 533,713.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    709,031.04 : 978,465.90 = 386,748.06 : x
  2. Step 2: Convert to fraction form
    709,031.04/978,465.90 = 386,748.06/x
  3. Step 3: Cross multiply
    709,031.04x = 978,465.90 × 386,748.06
  4. Step 4: Simplify right side
    709,031.04x = 378,419,788,601.15
  5. Step 5: Solve for x
    x = 378,419,788,601.15/709,031.04
  6. Step 6: Final answer
    x = 533,713.99

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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.