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Finding the Fourth Proportional to 459,589.90, 689,946.45 and 260,049.10

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Solution

The fourth proportional to 459,589.90, 689,946.45 and 260,049.10 is: 390,391.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,589.90 : 689,946.45 = 260,049.10 : x
  2. Step 2: Convert to fraction form
    459,589.90/689,946.45 = 260,049.10/x
  3. Step 3: Cross multiply
    459,589.90x = 689,946.45 × 260,049.10
  4. Step 4: Simplify right side
    459,589.90x = 179,419,953,370.70
  5. Step 5: Solve for x
    x = 179,419,953,370.70/459,589.90
  6. Step 6: Final answer
    x = 390,391.42

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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.