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Finding the Fourth Proportional to 427,565.25, 590,061.92 and 257,810.31

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Solution

The fourth proportional to 427,565.25, 590,061.92 and 257,810.31 is: 355,791.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,565.25 : 590,061.92 = 257,810.31 : x
  2. Step 2: Convert to fraction form
    427,565.25/590,061.92 = 257,810.31/x
  3. Step 3: Cross multiply
    427,565.25x = 590,061.92 × 257,810.31
  4. Step 4: Simplify right side
    427,565.25x = 152,124,045,225.34
  5. Step 5: Solve for x
    x = 152,124,045,225.34/427,565.25
  6. Step 6: Final answer
    x = 355,791.41

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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.