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Finding the Fourth Proportional to 566,367.36, 781,581 and 311,713.08

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Solution

The fourth proportional to 566,367.36, 781,581 and 311,713.08 is: 430,160.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    566,367.36 : 781,581 = 311,713.08 : x
  2. Step 2: Convert to fraction form
    566,367.36/781,581 = 311,713.08/x
  3. Step 3: Cross multiply
    566,367.36x = 781,581 × 311,713.08
  4. Step 4: Simplify right side
    566,367.36x = 243,629,020,779.48
  5. Step 5: Solve for x
    x = 243,629,020,779.48/566,367.36
  6. Step 6: Final answer
    x = 430,160.77

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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.