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Finding the Fourth Proportional to 210,419.60, 314,851.80 and 191,757.20

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Solution

The fourth proportional to 210,419.60, 314,851.80 and 191,757.20 is: 286,927.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,419.60 : 314,851.80 = 191,757.20 : x
  2. Step 2: Convert to fraction form
    210,419.60/314,851.80 = 191,757.20/x
  3. Step 3: Cross multiply
    210,419.60x = 314,851.80 × 191,757.20
  4. Step 4: Simplify right side
    210,419.60x = 60,375,099,582.96
  5. Step 5: Solve for x
    x = 60,375,099,582.96/210,419.60
  6. Step 6: Final answer
    x = 286,927.17

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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.