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Finding the Fourth Proportional to 429,032.64, 643,551.12 and 176,450.88

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Solution

The fourth proportional to 429,032.64, 643,551.12 and 176,450.88 is: 264,677.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,032.64 : 643,551.12 = 176,450.88 : x
  2. Step 2: Convert to fraction form
    429,032.64/643,551.12 = 176,450.88/x
  3. Step 3: Cross multiply
    429,032.64x = 643,551.12 × 176,450.88
  4. Step 4: Simplify right side
    429,032.64x = 113,555,161,448.99
  5. Step 5: Solve for x
    x = 113,555,161,448.99/429,032.64
  6. Step 6: Final answer
    x = 264,677.21

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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.