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Finding the Fourth Proportional to 408,948.46, 613,547.86 and 209,410.08

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Solution

The fourth proportional to 408,948.46, 613,547.86 and 209,410.08 is: 314,179.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,948.46 : 613,547.86 = 209,410.08 : x
  2. Step 2: Convert to fraction form
    408,948.46/613,547.86 = 209,410.08/x
  3. Step 3: Cross multiply
    408,948.46x = 613,547.86 × 209,410.08
  4. Step 4: Simplify right side
    408,948.46x = 128,483,106,446.43
  5. Step 5: Solve for x
    x = 128,483,106,446.43/408,948.46
  6. Step 6: Final answer
    x = 314,179.22

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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.