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Finding the Fourth Proportional to 310,991.87, 429,151.02 and 175,031.48

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Solution

The fourth proportional to 310,991.87, 429,151.02 and 175,031.48 is: 241,533.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,991.87 : 429,151.02 = 175,031.48 : x
  2. Step 2: Convert to fraction form
    310,991.87/429,151.02 = 175,031.48/x
  3. Step 3: Cross multiply
    310,991.87x = 429,151.02 × 175,031.48
  4. Step 4: Simplify right side
    310,991.87x = 75,114,938,174.11
  5. Step 5: Solve for x
    x = 75,114,938,174.11/310,991.87
  6. Step 6: Final answer
    x = 241,533.45

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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.