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Finding the Fourth Proportional to 431,345.80, 647,018.70 and 218,769.40

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Solution

The fourth proportional to 431,345.80, 647,018.70 and 218,769.40 is: 328,154.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,345.80 : 647,018.70 = 218,769.40 : x
  2. Step 2: Convert to fraction form
    431,345.80/647,018.70 = 218,769.40/x
  3. Step 3: Cross multiply
    431,345.80x = 647,018.70 × 218,769.40
  4. Step 4: Simplify right side
    431,345.80x = 141,547,892,787.78
  5. Step 5: Solve for x
    x = 141,547,892,787.78/431,345.80
  6. Step 6: Final answer
    x = 328,154.10

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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.