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Finding the Fourth Proportional to 258,415, 356,641.11 and 148,044.13

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Solution

The fourth proportional to 258,415, 356,641.11 and 148,044.13 is: 204,317.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,415 : 356,641.11 = 148,044.13 : x
  2. Step 2: Convert to fraction form
    258,415/356,641.11 = 148,044.13/x
  3. Step 3: Cross multiply
    258,415x = 356,641.11 × 148,044.13
  4. Step 4: Simplify right side
    258,415x = 52,798,622,852.18
  5. Step 5: Solve for x
    x = 52,798,622,852.18/258,415
  6. Step 6: Final answer
    x = 204,317.18

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1.5x scale

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.