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Finding the Fourth Proportional to 431,275.40, 646,913.10 and 325,521.80

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Solution

The fourth proportional to 431,275.40, 646,913.10 and 325,521.80 is: 488,282.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,275.40 : 646,913.10 = 325,521.80 : x
  2. Step 2: Convert to fraction form
    431,275.40/646,913.10 = 325,521.80/x
  3. Step 3: Cross multiply
    431,275.40x = 646,913.10 × 325,521.80
  4. Step 4: Simplify right side
    431,275.40x = 210,584,316,755.58
  5. Step 5: Solve for x
    x = 210,584,316,755.58/431,275.40
  6. Step 6: Final answer
    x = 488,282.70

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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.