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Finding the Fourth Proportional to 313,955.52, 432,526.40 and 218,296.14

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Solution

The fourth proportional to 313,955.52, 432,526.40 and 218,296.14 is: 300,739.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,955.52 : 432,526.40 = 218,296.14 : x
  2. Step 2: Convert to fraction form
    313,955.52/432,526.40 = 218,296.14/x
  3. Step 3: Cross multiply
    313,955.52x = 432,526.40 × 218,296.14
  4. Step 4: Simplify right side
    313,955.52x = 94,418,843,568.10
  5. Step 5: Solve for x
    x = 94,418,843,568.10/313,955.52
  6. Step 6: Final answer
    x = 300,739.56

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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.