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Finding the Fourth Proportional to 462,574.04, 638,376.56 and 281,255.96

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Solution

The fourth proportional to 462,574.04, 638,376.56 and 281,255.96 is: 388,148.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,574.04 : 638,376.56 = 281,255.96 : x
  2. Step 2: Convert to fraction form
    462,574.04/638,376.56 = 281,255.96/x
  3. Step 3: Cross multiply
    462,574.04x = 638,376.56 × 281,255.96
  4. Step 4: Simplify right side
    462,574.04x = 179,547,212,224.30
  5. Step 5: Solve for x
    x = 179,547,212,224.30/462,574.04
  6. Step 6: Final answer
    x = 388,148.05

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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.