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Finding the Fourth Proportional to 316,889.64, 475,014.42 and 198,643.86

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Solution

The fourth proportional to 316,889.64, 475,014.42 and 198,643.86 is: 297,765.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,889.64 : 475,014.42 = 198,643.86 : x
  2. Step 2: Convert to fraction form
    316,889.64/475,014.42 = 198,643.86/x
  3. Step 3: Cross multiply
    316,889.64x = 475,014.42 × 198,643.86
  4. Step 4: Simplify right side
    316,889.64x = 94,358,697,944.46
  5. Step 5: Solve for x
    x = 94,358,697,944.46/316,889.64
  6. Step 6: Final answer
    x = 297,765.17

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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.