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Finding the Fourth Proportional to 258,390, 356,616.47 and 151,019.24

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Solution

The fourth proportional to 258,390, 356,616.47 and 151,019.24 is: 208,428.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,390 : 356,616.47 = 151,019.24 : x
  2. Step 2: Convert to fraction form
    258,390/356,616.47 = 151,019.24/x
  3. Step 3: Cross multiply
    258,390x = 356,616.47 × 151,019.24
  4. Step 4: Simplify right side
    258,390x = 53,855,946,865.35
  5. Step 5: Solve for x
    x = 53,855,946,865.35/258,390
  6. Step 6: Final answer
    x = 208,428.91

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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.