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Finding the Fourth Proportional to 462,570.13, 638,311.75 and 281,256.90

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Solution

The fourth proportional to 462,570.13, 638,311.75 and 281,256.90 is: 388,113.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,570.13 : 638,311.75 = 281,256.90 : x
  2. Step 2: Convert to fraction form
    462,570.13/638,311.75 = 281,256.90/x
  3. Step 3: Cross multiply
    462,570.13x = 638,311.75 × 281,256.90
  4. Step 4: Simplify right side
    462,570.13x = 179,529,584,038.58
  5. Step 5: Solve for x
    x = 179,529,584,038.58/462,570.13
  6. Step 6: Final answer
    x = 388,113.22

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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.