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Finding the Fourth Proportional to 547,567.80, 823,101.30 and 390,881.40

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Solution

The fourth proportional to 547,567.80, 823,101.30 and 390,881.40 is: 587,571.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    547,567.80 : 823,101.30 = 390,881.40 : x
  2. Step 2: Convert to fraction form
    547,567.80/823,101.30 = 390,881.40/x
  3. Step 3: Cross multiply
    547,567.80x = 823,101.30 × 390,881.40
  4. Step 4: Simplify right side
    547,567.80x = 321,734,988,485.82
  5. Step 5: Solve for x
    x = 321,734,988,485.82/547,567.80
  6. Step 6: Final answer
    x = 587,571.05

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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.