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Finding the Fourth Proportional to 310,878, 429,011.64 and 176,742

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Solution

The fourth proportional to 310,878, 429,011.64 and 176,742 is: 243,903.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,878 : 429,011.64 = 176,742 : x
  2. Step 2: Convert to fraction form
    310,878/429,011.64 = 176,742/x
  3. Step 3: Cross multiply
    310,878x = 429,011.64 × 176,742
  4. Step 4: Simplify right side
    310,878x = 75,824,375,276.88
  5. Step 5: Solve for x
    x = 75,824,375,276.88/310,878
  6. Step 6: Final answer
    x = 243,903.96

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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.