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Finding the Fourth Proportional to 211,978.12, 317,274.90 and 155,803.36

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Solution

The fourth proportional to 211,978.12, 317,274.90 and 155,803.36 is: 233,196.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,978.12 : 317,274.90 = 155,803.36 : x
  2. Step 2: Convert to fraction form
    211,978.12/317,274.90 = 155,803.36/x
  3. Step 3: Cross multiply
    211,978.12x = 317,274.90 × 155,803.36
  4. Step 4: Simplify right side
    211,978.12x = 49,432,495,463.66
  5. Step 5: Solve for x
    x = 49,432,495,463.66/211,978.12
  6. Step 6: Final answer
    x = 233,196.22

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.