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Finding the Fourth Proportional to 429,643.64, 644,715.12 and 176,949.56

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Solution

The fourth proportional to 429,643.64, 644,715.12 and 176,949.56 is: 265,527.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,643.64 : 644,715.12 = 176,949.56 : x
  2. Step 2: Convert to fraction form
    429,643.64/644,715.12 = 176,949.56/x
  3. Step 3: Cross multiply
    429,643.64x = 644,715.12 × 176,949.56
  4. Step 4: Simplify right side
    429,643.64x = 114,082,056,809.35
  5. Step 5: Solve for x
    x = 114,082,056,809.35/429,643.64
  6. Step 6: Final answer
    x = 265,527.16

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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.