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Finding the Fourth Proportional to 429,878.56, 643,977.03 and 354,085.92

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Solution

The fourth proportional to 429,878.56, 643,977.03 and 354,085.92 is: 530,436.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,878.56 : 643,977.03 = 354,085.92 : x
  2. Step 2: Convert to fraction form
    429,878.56/643,977.03 = 354,085.92/x
  3. Step 3: Cross multiply
    429,878.56x = 643,977.03 × 354,085.92
  4. Step 4: Simplify right side
    429,878.56x = 228,023,199,126.42
  5. Step 5: Solve for x
    x = 228,023,199,126.42/429,878.56
  6. Step 6: Final answer
    x = 530,436.31

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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.