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Finding the Fourth Proportional to 258,502.50, 356,733.45 and 145,326.06

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Solution

The fourth proportional to 258,502.50, 356,733.45 and 145,326.06 is: 200,549.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,502.50 : 356,733.45 = 145,326.06 : x
  2. Step 2: Convert to fraction form
    258,502.50/356,733.45 = 145,326.06/x
  3. Step 3: Cross multiply
    258,502.50x = 356,733.45 × 145,326.06
  4. Step 4: Simplify right side
    258,502.50x = 51,842,666,758.71
  5. Step 5: Solve for x
    x = 51,842,666,758.71/258,502.50
  6. Step 6: Final answer
    x = 200,549.96

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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.