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Finding the Fourth Proportional to 312,425.60, 431,041.52 and 204,985.60

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Solution

The fourth proportional to 312,425.60, 431,041.52 and 204,985.60 is: 282,810.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,425.60 : 431,041.52 = 204,985.60 : x
  2. Step 2: Convert to fraction form
    312,425.60/431,041.52 = 204,985.60/x
  3. Step 3: Cross multiply
    312,425.60x = 431,041.52 × 204,985.60
  4. Step 4: Simplify right side
    312,425.60x = 88,357,304,602.11
  5. Step 5: Solve for x
    x = 88,357,304,602.11/312,425.60
  6. Step 6: Final answer
    x = 282,810.71

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.