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Finding the Fourth Proportional to 569,508.78, 785,938.50 and 314,876.34

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Solution

The fourth proportional to 569,508.78, 785,938.50 and 314,876.34 is: 434,538.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,508.78 : 785,938.50 = 314,876.34 : x
  2. Step 2: Convert to fraction form
    569,508.78/785,938.50 = 314,876.34/x
  3. Step 3: Cross multiply
    569,508.78x = 785,938.50 × 314,876.34
  4. Step 4: Simplify right side
    569,508.78x = 247,473,438,345.09
  5. Step 5: Solve for x
    x = 247,473,438,345.09/569,508.78
  6. Step 6: Final answer
    x = 434,538.41

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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.