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Finding the Fourth Proportional to 753,784, 1,131,194.40 and 310,552

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Solution

The fourth proportional to 753,784, 1,131,194.40 and 310,552 is: 466,041.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    753,784 : 1,131,194.40 = 310,552 : x
  2. Step 2: Convert to fraction form
    753,784/1,131,194.40 = 310,552/x
  3. Step 3: Cross multiply
    753,784x = 1,131,194.40 × 310,552
  4. Step 4: Simplify right side
    753,784x = 351,294,683,308.80
  5. Step 5: Solve for x
    x = 351,294,683,308.80/753,784
  6. Step 6: Final answer
    x = 466,041.58

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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.