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Finding the Fourth Proportional to 310,870.35, 429,016.82 and 183,543.21

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Solution

The fourth proportional to 310,870.35, 429,016.82 and 183,543.21 is: 253,298.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,870.35 : 429,016.82 = 183,543.21 : x
  2. Step 2: Convert to fraction form
    310,870.35/429,016.82 = 183,543.21/x
  3. Step 3: Cross multiply
    310,870.35x = 429,016.82 × 183,543.21
  4. Step 4: Simplify right side
    310,870.35x = 78,743,122,600.57
  5. Step 5: Solve for x
    x = 78,743,122,600.57/310,870.35
  6. Step 6: Final answer
    x = 253,298.92

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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.