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Finding the Fourth Proportional to 328,222.98, 492,417.49 and 91,565.48

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Solution

The fourth proportional to 328,222.98, 492,417.49 and 91,565.48 is: 137,371.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,222.98 : 492,417.49 = 91,565.48 : x
  2. Step 2: Convert to fraction form
    328,222.98/492,417.49 = 91,565.48/x
  3. Step 3: Cross multiply
    328,222.98x = 492,417.49 × 91,565.48
  4. Step 4: Simplify right side
    328,222.98x = 45,088,443,331.18
  5. Step 5: Solve for x
    x = 45,088,443,331.18/328,222.98
  6. Step 6: Final answer
    x = 137,371.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.