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Finding the Fourth Proportional to 569,376.90, 785,740.32 and 314,728.02

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Solution

The fourth proportional to 569,376.90, 785,740.32 and 314,728.02 is: 434,324.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,376.90 : 785,740.32 = 314,728.02 : x
  2. Step 2: Convert to fraction form
    569,376.90/785,740.32 = 314,728.02/x
  3. Step 3: Cross multiply
    569,376.90x = 785,740.32 × 314,728.02
  4. Step 4: Simplify right side
    569,376.90x = 247,294,495,147.77
  5. Step 5: Solve for x
    x = 247,294,495,147.77/569,376.90
  6. Step 6: Final answer
    x = 434,324.78

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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.