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Finding the Fourth Proportional to 229,493.86, 316,603.29 and 143,303.21

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Solution

The fourth proportional to 229,493.86, 316,603.29 and 143,303.21 is: 197,697.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,493.86 : 316,603.29 = 143,303.21 : x
  2. Step 2: Convert to fraction form
    229,493.86/316,603.29 = 143,303.21/x
  3. Step 3: Cross multiply
    229,493.86x = 316,603.29 × 143,303.21
  4. Step 4: Simplify right side
    229,493.86x = 45,370,268,686.70
  5. Step 5: Solve for x
    x = 45,370,268,686.70/229,493.86
  6. Step 6: Final answer
    x = 197,697.09

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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.