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Finding the Fourth Proportional to 310,987.55, 429,295.23 and 209,072.12

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Solution

The fourth proportional to 310,987.55, 429,295.23 and 209,072.12 is: 288,608.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,987.55 : 429,295.23 = 209,072.12 : x
  2. Step 2: Convert to fraction form
    310,987.55/429,295.23 = 209,072.12/x
  3. Step 3: Cross multiply
    310,987.55x = 429,295.23 × 209,072.12
  4. Step 4: Simplify right side
    310,987.55x = 89,753,661,695.51
  5. Step 5: Solve for x
    x = 89,753,661,695.51/310,987.55
  6. Step 6: Final answer
    x = 288,608.54

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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.