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Finding the Fourth Proportional to 564,302.88, 778,747.50 and 309,677.76

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Solution

The fourth proportional to 564,302.88, 778,747.50 and 309,677.76 is: 427,360.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,302.88 : 778,747.50 = 309,677.76 : x
  2. Step 2: Convert to fraction form
    564,302.88/778,747.50 = 309,677.76/x
  3. Step 3: Cross multiply
    564,302.88x = 778,747.50 × 309,677.76
  4. Step 4: Simplify right side
    564,302.88x = 241,160,781,405.60
  5. Step 5: Solve for x
    x = 241,160,781,405.60/564,302.88
  6. Step 6: Final answer
    x = 427,360.54

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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.