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Finding the Fourth Proportional to 429,547.89, 644,344.07 and 109,702.74

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Solution

The fourth proportional to 429,547.89, 644,344.07 and 109,702.74 is: 164,559.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,547.89 : 644,344.07 = 109,702.74 : x
  2. Step 2: Convert to fraction form
    429,547.89/644,344.07 = 109,702.74/x
  3. Step 3: Cross multiply
    429,547.89x = 644,344.07 × 109,702.74
  4. Step 4: Simplify right side
    429,547.89x = 70,686,309,433.24
  5. Step 5: Solve for x
    x = 70,686,309,433.24/429,547.89
  6. Step 6: Final answer
    x = 164,559.79

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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.