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Finding the Fourth Proportional to 354,278.40, 531,763.20 and 176,985.60

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Solution

The fourth proportional to 354,278.40, 531,763.20 and 176,985.60 is: 265,651.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,278.40 : 531,763.20 = 176,985.60 : x
  2. Step 2: Convert to fraction form
    354,278.40/531,763.20 = 176,985.60/x
  3. Step 3: Cross multiply
    354,278.40x = 531,763.20 × 176,985.60
  4. Step 4: Simplify right side
    354,278.40x = 94,114,429,009.92
  5. Step 5: Solve for x
    x = 94,114,429,009.92/354,278.40
  6. Step 6: Final answer
    x = 265,651.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.