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Finding the Fourth Proportional to 709,108.08, 978,575.40 and 386,819.52

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Solution

The fourth proportional to 709,108.08, 978,575.40 and 386,819.52 is: 533,814.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    709,108.08 : 978,575.40 = 386,819.52 : x
  2. Step 2: Convert to fraction form
    709,108.08/978,575.40 = 386,819.52/x
  3. Step 3: Cross multiply
    709,108.08x = 978,575.40 × 386,819.52
  4. Step 4: Simplify right side
    709,108.08x = 378,532,066,511.81
  5. Step 5: Solve for x
    x = 378,532,066,511.81/709,108.08
  6. Step 6: Final answer
    x = 533,814.35

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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.