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Finding the Fourth Proportional to 429,704.64, 644,560.80 and 176,925.12

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Solution

The fourth proportional to 429,704.64, 644,560.80 and 176,925.12 is: 265,389.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,704.64 : 644,560.80 = 176,925.12 : x
  2. Step 2: Convert to fraction form
    429,704.64/644,560.80 = 176,925.12/x
  3. Step 3: Cross multiply
    429,704.64x = 644,560.80 × 176,925.12
  4. Step 4: Simplify right side
    429,704.64x = 114,038,996,887.30
  5. Step 5: Solve for x
    x = 114,038,996,887.30/429,704.64
  6. Step 6: Final answer
    x = 265,389.26

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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.