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Finding the Fourth Proportional to 389,312.70, 583,774.65 and 178,712.70

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Solution

The fourth proportional to 389,312.70, 583,774.65 and 178,712.70 is: 267,979.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,312.70 : 583,774.65 = 178,712.70 : x
  2. Step 2: Convert to fraction form
    389,312.70/583,774.65 = 178,712.70/x
  3. Step 3: Cross multiply
    389,312.70x = 583,774.65 × 178,712.70
  4. Step 4: Simplify right side
    389,312.70x = 104,327,943,893.06
  5. Step 5: Solve for x
    x = 104,327,943,893.06/389,312.70
  6. Step 6: Final answer
    x = 267,979.81

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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.