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Finding the Fourth Proportional to 210,405.60, 314,830.80 and 191,743.20

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Solution

The fourth proportional to 210,405.60, 314,830.80 and 191,743.20 is: 286,906.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,405.60 : 314,830.80 = 191,743.20 : x
  2. Step 2: Convert to fraction form
    210,405.60/314,830.80 = 191,743.20/x
  3. Step 3: Cross multiply
    210,405.60x = 314,830.80 × 191,743.20
  4. Step 4: Simplify right side
    210,405.60x = 60,366,665,050.56
  5. Step 5: Solve for x
    x = 60,366,665,050.56/210,405.60
  6. Step 6: Final answer
    x = 286,906.17

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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.