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Finding the Fourth Proportional to 566,405.43, 781,661.66 and 311,780.31

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Solution

The fourth proportional to 566,405.43, 781,661.66 and 311,780.31 is: 430,269.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    566,405.43 : 781,661.66 = 311,780.31 : x
  2. Step 2: Convert to fraction form
    566,405.43/781,661.66 = 311,780.31/x
  3. Step 3: Cross multiply
    566,405.43x = 781,661.66 × 311,780.31
  4. Step 4: Simplify right side
    566,405.43x = 243,706,713,111.01
  5. Step 5: Solve for x
    x = 243,706,713,111.01/566,405.43
  6. Step 6: Final answer
    x = 430,269.03

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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.