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Finding the Fourth Proportional to 280,398.34, 420,573.81 and 90,854.69

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Solution

The fourth proportional to 280,398.34, 420,573.81 and 90,854.69 is: 136,274.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,398.34 : 420,573.81 = 90,854.69 : x
  2. Step 2: Convert to fraction form
    280,398.34/420,573.81 = 90,854.69/x
  3. Step 3: Cross multiply
    280,398.34x = 420,573.81 × 90,854.69
  4. Step 4: Simplify right side
    280,398.34x = 38,211,103,129.67
  5. Step 5: Solve for x
    x = 38,211,103,129.67/280,398.34
  6. Step 6: Final answer
    x = 136,274.36

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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.