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Finding the Fourth Proportional to 418,888.08, 578,048.40 and 227,901.66

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Solution

The fourth proportional to 418,888.08, 578,048.40 and 227,901.66 is: 314,494.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,888.08 : 578,048.40 = 227,901.66 : x
  2. Step 2: Convert to fraction form
    418,888.08/578,048.40 = 227,901.66/x
  3. Step 3: Cross multiply
    418,888.08x = 578,048.40 × 227,901.66
  4. Step 4: Simplify right side
    418,888.08x = 131,738,189,920.34
  5. Step 5: Solve for x
    x = 131,738,189,920.34/418,888.08
  6. Step 6: Final answer
    x = 314,494.96

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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.