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Finding the Fourth Proportional to 380,854.74, 570,658.80 and 231,140.92

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Solution

The fourth proportional to 380,854.74, 570,658.80 and 231,140.92 is: 346,333.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,854.74 : 570,658.80 = 231,140.92 : x
  2. Step 2: Convert to fraction form
    380,854.74/570,658.80 = 231,140.92/x
  3. Step 3: Cross multiply
    380,854.74x = 570,658.80 × 231,140.92
  4. Step 4: Simplify right side
    380,854.74x = 131,902,600,038.10
  5. Step 5: Solve for x
    x = 131,902,600,038.10/380,854.74
  6. Step 6: Final answer
    x = 346,333.09

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1.5x scale

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.