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Finding the Fourth Proportional to 313,097.39, 432,381.30 and 216,548.63

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Solution

The fourth proportional to 313,097.39, 432,381.30 and 216,548.63 is: 299,049.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,097.39 : 432,381.30 = 216,548.63 : x
  2. Step 2: Convert to fraction form
    313,097.39/432,381.30 = 216,548.63/x
  3. Step 3: Cross multiply
    313,097.39x = 432,381.30 × 216,548.63
  4. Step 4: Simplify right side
    313,097.39x = 93,631,578,152.62
  5. Step 5: Solve for x
    x = 93,631,578,152.62/313,097.39
  6. Step 6: Final answer
    x = 299,049.37

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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.