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Finding the Fourth Proportional to 457,019.82, 630,677.34 and 266,029.11

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Solution

The fourth proportional to 457,019.82, 630,677.34 and 266,029.11 is: 367,114.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,019.82 : 630,677.34 = 266,029.11 : x
  2. Step 2: Convert to fraction form
    457,019.82/630,677.34 = 266,029.11/x
  3. Step 3: Cross multiply
    457,019.82x = 630,677.34 × 266,029.11
  4. Step 4: Simplify right side
    457,019.82x = 167,778,531,457.37
  5. Step 5: Solve for x
    x = 167,778,531,457.37/457,019.82
  6. Step 6: Final answer
    x = 367,114.34

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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.