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Finding the Fourth Proportional to 478,770.52, 659,808.30 and 357,698.20

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Solution

The fourth proportional to 478,770.52, 659,808.30 and 357,698.20 is: 492,954.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,770.52 : 659,808.30 = 357,698.20 : x
  2. Step 2: Convert to fraction form
    478,770.52/659,808.30 = 357,698.20/x
  3. Step 3: Cross multiply
    478,770.52x = 659,808.30 × 357,698.20
  4. Step 4: Simplify right side
    478,770.52x = 236,012,241,255.06
  5. Step 5: Solve for x
    x = 236,012,241,255.06/478,770.52
  6. Step 6: Final answer
    x = 492,954.83

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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.