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Finding the Fourth Proportional to 369,565.32, 509,816.78 and 238,697.98

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Solution

The fourth proportional to 369,565.32, 509,816.78 and 238,697.98 is: 329,284.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,565.32 : 509,816.78 = 238,697.98 : x
  2. Step 2: Convert to fraction form
    369,565.32/509,816.78 = 238,697.98/x
  3. Step 3: Cross multiply
    369,565.32x = 509,816.78 × 238,697.98
  4. Step 4: Simplify right side
    369,565.32x = 121,692,235,556.10
  5. Step 5: Solve for x
    x = 121,692,235,556.10/369,565.32
  6. Step 6: Final answer
    x = 329,284.78

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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.