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Finding the Fourth Proportional to 429,764.10, 644,034.94 and 316,554.06

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Solution

The fourth proportional to 429,764.10, 644,034.94 and 316,554.06 is: 474,380.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,764.10 : 644,034.94 = 316,554.06 : x
  2. Step 2: Convert to fraction form
    429,764.10/644,034.94 = 316,554.06/x
  3. Step 3: Cross multiply
    429,764.10x = 644,034.94 × 316,554.06
  4. Step 4: Simplify right side
    429,764.10x = 203,871,875,038.86
  5. Step 5: Solve for x
    x = 203,871,875,038.86/429,764.10
  6. Step 6: Final answer
    x = 474,380.89

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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.