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Finding the Fourth Proportional to 429,955.19, 591,982.92 and 390,097.11

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Solution

The fourth proportional to 429,955.19, 591,982.92 and 390,097.11 is: 537,104.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,955.19 : 591,982.92 = 390,097.11 : x
  2. Step 2: Convert to fraction form
    429,955.19/591,982.92 = 390,097.11/x
  3. Step 3: Cross multiply
    429,955.19x = 591,982.92 × 390,097.11
  4. Step 4: Simplify right side
    429,955.19x = 230,930,826,261.36
  5. Step 5: Solve for x
    x = 230,930,826,261.36/429,955.19
  6. Step 6: Final answer
    x = 537,104.41

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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.