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Finding the Fourth Proportional to 649,862.80, 974,794.20 and 334,934.80

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Solution

The fourth proportional to 649,862.80, 974,794.20 and 334,934.80 is: 502,402.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    649,862.80 : 974,794.20 = 334,934.80 : x
  2. Step 2: Convert to fraction form
    649,862.80/974,794.20 = 334,934.80/x
  3. Step 3: Cross multiply
    649,862.80x = 974,794.20 × 334,934.80
  4. Step 4: Simplify right side
    649,862.80x = 326,492,500,418.16
  5. Step 5: Solve for x
    x = 326,492,500,418.16/649,862.80
  6. Step 6: Final answer
    x = 502,402.20

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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.