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Finding the Fourth Proportional to 230,454, 318,026.56 and 124,470

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Solution

The fourth proportional to 230,454, 318,026.56 and 124,470 is: 171,768.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,454 : 318,026.56 = 124,470 : x
  2. Step 2: Convert to fraction form
    230,454/318,026.56 = 124,470/x
  3. Step 3: Cross multiply
    230,454x = 318,026.56 × 124,470
  4. Step 4: Simplify right side
    230,454x = 39,584,765,923.20
  5. Step 5: Solve for x
    x = 39,584,765,923.20/230,454
  6. Step 6: Final answer
    x = 171,768.62

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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.