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Finding the Fourth Proportional to 431,661.40, 647,492.10 and 342,431.80

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Solution

The fourth proportional to 431,661.40, 647,492.10 and 342,431.80 is: 513,647.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,661.40 : 647,492.10 = 342,431.80 : x
  2. Step 2: Convert to fraction form
    431,661.40/647,492.10 = 342,431.80/x
  3. Step 3: Cross multiply
    431,661.40x = 647,492.10 × 342,431.80
  4. Step 4: Simplify right side
    431,661.40x = 221,721,885,288.78
  5. Step 5: Solve for x
    x = 221,721,885,288.78/431,661.40
  6. Step 6: Final answer
    x = 513,647.70

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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.