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Finding the Fourth Proportional to 548,643.80, 822,637.65 and 282,923.30

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Solution

The fourth proportional to 548,643.80, 822,637.65 and 282,923.30 is: 424,215.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    548,643.80 : 822,637.65 = 282,923.30 : x
  2. Step 2: Convert to fraction form
    548,643.80/822,637.65 = 282,923.30/x
  3. Step 3: Cross multiply
    548,643.80x = 822,637.65 × 282,923.30
  4. Step 4: Simplify right side
    548,643.80x = 232,743,358,642.25
  5. Step 5: Solve for x
    x = 232,743,358,642.25/548,643.80
  6. Step 6: Final answer
    x = 424,215.78

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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.