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Finding the Fourth Proportional to 460,514.53, 690,928.64 and 280,959.42

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Solution

The fourth proportional to 460,514.53, 690,928.64 and 280,959.42 is: 421,534.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,514.53 : 690,928.64 = 280,959.42 : x
  2. Step 2: Convert to fraction form
    460,514.53/690,928.64 = 280,959.42/x
  3. Step 3: Cross multiply
    460,514.53x = 690,928.64 × 280,959.42
  4. Step 4: Simplify right side
    460,514.53x = 194,122,908,550.99
  5. Step 5: Solve for x
    x = 194,122,908,550.99/460,514.53
  6. Step 6: Final answer
    x = 421,534.82

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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.