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Finding the Fourth Proportional to 288,535.81, 398,290.49 and 258,267.73

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Solution

The fourth proportional to 288,535.81, 398,290.49 and 258,267.73 is: 356,508.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,535.81 : 398,290.49 = 258,267.73 : x
  2. Step 2: Convert to fraction form
    288,535.81/398,290.49 = 258,267.73/x
  3. Step 3: Cross multiply
    288,535.81x = 398,290.49 × 258,267.73
  4. Step 4: Simplify right side
    288,535.81x = 102,865,580,732.89
  5. Step 5: Solve for x
    x = 102,865,580,732.89/288,535.81
  6. Step 6: Final answer
    x = 356,508.89

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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.