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Finding the Fourth Proportional to 563,930.93, 778,273.90 and 309,331.32

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Solution

The fourth proportional to 563,930.93, 778,273.90 and 309,331.32 is: 426,904.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    563,930.93 : 778,273.90 = 309,331.32 : x
  2. Step 2: Convert to fraction form
    563,930.93/778,273.90 = 309,331.32/x
  3. Step 3: Cross multiply
    563,930.93x = 778,273.90 × 309,331.32
  4. Step 4: Simplify right side
    563,930.93x = 240,744,495,527.56
  5. Step 5: Solve for x
    x = 240,744,495,527.56/563,930.93
  6. Step 6: Final answer
    x = 426,904.22

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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.