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Finding the Fourth Proportional to 468,343.17, 646,329.25 and 287,020.08

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Solution

The fourth proportional to 468,343.17, 646,329.25 and 287,020.08 is: 396,097.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,343.17 : 646,329.25 = 287,020.08 : x
  2. Step 2: Convert to fraction form
    468,343.17/646,329.25 = 287,020.08/x
  3. Step 3: Cross multiply
    468,343.17x = 646,329.25 × 287,020.08
  4. Step 4: Simplify right side
    468,343.17x = 185,509,473,041.34
  5. Step 5: Solve for x
    x = 185,509,473,041.34/468,343.17
  6. Step 6: Final answer
    x = 396,097.32

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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.