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Finding the Fourth Proportional to 657,021.70, 984,985.80 and 278,233.30

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Solution

The fourth proportional to 657,021.70, 984,985.80 and 278,233.30 is: 417,118.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,021.70 : 984,985.80 = 278,233.30 : x
  2. Step 2: Convert to fraction form
    657,021.70/984,985.80 = 278,233.30/x
  3. Step 3: Cross multiply
    657,021.70x = 984,985.80 × 278,233.30
  4. Step 4: Simplify right side
    657,021.70x = 274,055,849,587.14
  5. Step 5: Solve for x
    x = 274,055,849,587.14/657,021.70
  6. Step 6: Final answer
    x = 417,118.41

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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.