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Finding the Fourth Proportional to 429,473.85, 643,368.07 and 349,597.72

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Solution

The fourth proportional to 429,473.85, 643,368.07 and 349,597.72 is: 523,710.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,473.85 : 643,368.07 = 349,597.72 : x
  2. Step 2: Convert to fraction form
    429,473.85/643,368.07 = 349,597.72/x
  3. Step 3: Cross multiply
    429,473.85x = 643,368.07 × 349,597.72
  4. Step 4: Simplify right side
    429,473.85x = 224,920,010,392.80
  5. Step 5: Solve for x
    x = 224,920,010,392.80/429,473.85
  6. Step 6: Final answer
    x = 523,710.61

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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.