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Finding the Fourth Proportional to 258,574.68, 356,830.92 and 145,395

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Solution

The fourth proportional to 258,574.68, 356,830.92 and 145,395 is: 200,643.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,574.68 : 356,830.92 = 145,395 : x
  2. Step 2: Convert to fraction form
    258,574.68/356,830.92 = 145,395/x
  3. Step 3: Cross multiply
    258,574.68x = 356,830.92 × 145,395
  4. Step 4: Simplify right side
    258,574.68x = 51,881,431,613.40
  5. Step 5: Solve for x
    x = 51,881,431,613.40/258,574.68
  6. Step 6: Final answer
    x = 200,643.90

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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.