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Finding the Fourth Proportional to 310,986.55, 429,293.85 and 209,071.12

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Solution

The fourth proportional to 310,986.55, 429,293.85 and 209,071.12 is: 288,607.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,986.55 : 429,293.85 = 209,071.12 : x
  2. Step 2: Convert to fraction form
    310,986.55/429,293.85 = 209,071.12/x
  3. Step 3: Cross multiply
    310,986.55x = 429,293.85 × 209,071.12
  4. Step 4: Simplify right side
    310,986.55x = 89,752,944,955.38
  5. Step 5: Solve for x
    x = 89,752,944,955.38/310,986.55
  6. Step 6: Final answer
    x = 288,607.16

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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.