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Finding the Fourth Proportional to 357,425.40, 493,357.78 and 230,101

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Solution

The fourth proportional to 357,425.40, 493,357.78 and 230,101 is: 317,610.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,425.40 : 493,357.78 = 230,101 : x
  2. Step 2: Convert to fraction form
    357,425.40/493,357.78 = 230,101/x
  3. Step 3: Cross multiply
    357,425.40x = 493,357.78 × 230,101
  4. Step 4: Simplify right side
    357,425.40x = 113,522,118,535.78
  5. Step 5: Solve for x
    x = 113,522,118,535.78/357,425.40
  6. Step 6: Final answer
    x = 317,610.66

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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.