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Finding the Fourth Proportional to 357,313.20, 535,765.68 and 146,778

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Solution

The fourth proportional to 357,313.20, 535,765.68 and 146,778 is: 220,083.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,313.20 : 535,765.68 = 146,778 : x
  2. Step 2: Convert to fraction form
    357,313.20/535,765.68 = 146,778/x
  3. Step 3: Cross multiply
    357,313.20x = 535,765.68 × 146,778
  4. Step 4: Simplify right side
    357,313.20x = 78,638,614,979.04
  5. Step 5: Solve for x
    x = 78,638,614,979.04/357,313.20
  6. Step 6: Final answer
    x = 220,083.15

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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.