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Finding the Fourth Proportional to 552,084.81, 761,877.14 and 310,367.85

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Solution

The fourth proportional to 552,084.81, 761,877.14 and 310,367.85 is: 428,307.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    552,084.81 : 761,877.14 = 310,367.85 : x
  2. Step 2: Convert to fraction form
    552,084.81/761,877.14 = 310,367.85/x
  3. Step 3: Cross multiply
    552,084.81x = 761,877.14 × 310,367.85
  4. Step 4: Simplify right side
    552,084.81x = 236,462,168,354.11
  5. Step 5: Solve for x
    x = 236,462,168,354.11/552,084.81
  6. Step 6: Final answer
    x = 428,307.69

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.