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Finding the Fourth Proportional to 310,019.80, 465,029.70 and 257,531.80

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Solution

The fourth proportional to 310,019.80, 465,029.70 and 257,531.80 is: 386,297.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,019.80 : 465,029.70 = 257,531.80 : x
  2. Step 2: Convert to fraction form
    310,019.80/465,029.70 = 257,531.80/x
  3. Step 3: Cross multiply
    310,019.80x = 465,029.70 × 257,531.80
  4. Step 4: Simplify right side
    310,019.80x = 119,759,935,694.46
  5. Step 5: Solve for x
    x = 119,759,935,694.46/310,019.80
  6. Step 6: Final answer
    x = 386,297.70

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.