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Finding the Fourth Proportional to 429,877.56, 643,975.53 and 354,084.92

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Solution

The fourth proportional to 429,877.56, 643,975.53 and 354,084.92 is: 530,434.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,877.56 : 643,975.53 = 354,084.92 : x
  2. Step 2: Convert to fraction form
    429,877.56/643,975.53 = 354,084.92/x
  3. Step 3: Cross multiply
    429,877.56x = 643,975.53 × 354,084.92
  4. Step 4: Simplify right side
    429,877.56x = 228,022,020,802.13
  5. Step 5: Solve for x
    x = 228,022,020,802.13/429,877.56
  6. Step 6: Final answer
    x = 530,434.81

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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.