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Finding the Fourth Proportional to 468,633, 646,725.56 and 287,445.04

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Solution

The fourth proportional to 468,633, 646,725.56 and 287,445.04 is: 396,681.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,633 : 646,725.56 = 287,445.04 : x
  2. Step 2: Convert to fraction form
    468,633/646,725.56 = 287,445.04/x
  3. Step 3: Cross multiply
    468,633x = 646,725.56 × 287,445.04
  4. Step 4: Simplify right side
    468,633x = 185,898,054,463.22
  5. Step 5: Solve for x
    x = 185,898,054,463.22/468,633
  6. Step 6: Final answer
    x = 396,681.53

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1.5x scale

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.