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Finding the Fourth Proportional to 462,138.30, 637,728.03 and 258,148.74

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Solution

The fourth proportional to 462,138.30, 637,728.03 and 258,148.74 is: 356,232.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,138.30 : 637,728.03 = 258,148.74 : x
  2. Step 2: Convert to fraction form
    462,138.30/637,728.03 = 258,148.74/x
  3. Step 3: Cross multiply
    462,138.30x = 637,728.03 × 258,148.74
  4. Step 4: Simplify right side
    462,138.30x = 164,628,687,407.18
  5. Step 5: Solve for x
    x = 164,628,687,407.18/462,138.30
  6. Step 6: Final answer
    x = 356,232.51

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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.