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Finding the Fourth Proportional to 610,938.14, 843,054.10 and 338,988.80

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Solution

The fourth proportional to 610,938.14, 843,054.10 and 338,988.80 is: 467,782.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    610,938.14 : 843,054.10 = 338,988.80 : x
  2. Step 2: Convert to fraction form
    610,938.14/843,054.10 = 338,988.80/x
  3. Step 3: Cross multiply
    610,938.14x = 843,054.10 × 338,988.80
  4. Step 4: Simplify right side
    610,938.14x = 285,785,897,694.08
  5. Step 5: Solve for x
    x = 285,785,897,694.08/610,938.14
  6. Step 6: Final answer
    x = 467,782.05

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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.