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Finding the Fourth Proportional to 429,534.70, 644,302.05 and 360,069.10

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Solution

The fourth proportional to 429,534.70, 644,302.05 and 360,069.10 is: 540,103.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,534.70 : 644,302.05 = 360,069.10 : x
  2. Step 2: Convert to fraction form
    429,534.70/644,302.05 = 360,069.10/x
  3. Step 3: Cross multiply
    429,534.70x = 644,302.05 × 360,069.10
  4. Step 4: Simplify right side
    429,534.70x = 231,993,259,271.66
  5. Step 5: Solve for x
    x = 231,993,259,271.66/429,534.70
  6. Step 6: Final answer
    x = 540,103.65

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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.