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Finding the Fourth Proportional to 357,697.20, 493,480.68 and 230,447

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Solution

The fourth proportional to 357,697.20, 493,480.68 and 230,447 is: 317,925.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,697.20 : 493,480.68 = 230,447 : x
  2. Step 2: Convert to fraction form
    357,697.20/493,480.68 = 230,447/x
  3. Step 3: Cross multiply
    357,697.20x = 493,480.68 × 230,447
  4. Step 4: Simplify right side
    357,697.20x = 113,721,142,263.96
  5. Step 5: Solve for x
    x = 113,721,142,263.96/357,697.20
  6. Step 6: Final answer
    x = 317,925.73

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1.5x scale

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.