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Finding the Fourth Proportional to 356,564.20, 492,050.66 and 195,415.72

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Solution

The fourth proportional to 356,564.20, 492,050.66 and 195,415.72 is: 269,669.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,564.20 : 492,050.66 = 195,415.72 : x
  2. Step 2: Convert to fraction form
    356,564.20/492,050.66 = 195,415.72/x
  3. Step 3: Cross multiply
    356,564.20x = 492,050.66 × 195,415.72
  4. Step 4: Simplify right side
    356,564.20x = 96,154,434,000.38
  5. Step 5: Solve for x
    x = 96,154,434,000.38/356,564.20
  6. Step 6: Final answer
    x = 269,669.34

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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.