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Finding the Fourth Proportional to 552,547.08, 762,608.84 and 408,103.12

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Solution

The fourth proportional to 552,547.08, 762,608.84 and 408,103.12 is: 563,251.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    552,547.08 : 762,608.84 = 408,103.12 : x
  2. Step 2: Convert to fraction form
    552,547.08/762,608.84 = 408,103.12/x
  3. Step 3: Cross multiply
    552,547.08x = 762,608.84 × 408,103.12
  4. Step 4: Simplify right side
    552,547.08x = 311,223,046,943.58
  5. Step 5: Solve for x
    x = 311,223,046,943.58/552,547.08
  6. Step 6: Final answer
    x = 563,251.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.