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Finding the Fourth Proportional to 551,923.80, 827,885.70 and 286,203.30

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Solution

The fourth proportional to 551,923.80, 827,885.70 and 286,203.30 is: 429,304.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    551,923.80 : 827,885.70 = 286,203.30 : x
  2. Step 2: Convert to fraction form
    551,923.80/827,885.70 = 286,203.30/x
  3. Step 3: Cross multiply
    551,923.80x = 827,885.70 × 286,203.30
  4. Step 4: Simplify right side
    551,923.80x = 236,943,619,362.81
  5. Step 5: Solve for x
    x = 236,943,619,362.81/551,923.80
  6. Step 6: Final answer
    x = 429,304.95

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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.