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Finding the Fourth Proportional to 566,438.97, 781,685.37 and 311,790.16

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Solution

The fourth proportional to 566,438.97, 781,685.37 and 311,790.16 is: 430,270.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    566,438.97 : 781,685.37 = 311,790.16 : x
  2. Step 2: Convert to fraction form
    566,438.97/781,685.37 = 311,790.16/x
  3. Step 3: Cross multiply
    566,438.97x = 781,685.37 × 311,790.16
  4. Step 4: Simplify right side
    566,438.97x = 243,721,807,559.07
  5. Step 5: Solve for x
    x = 243,721,807,559.07/566,438.97
  6. Step 6: Final answer
    x = 430,270.19

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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.