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Finding the Fourth Proportional to 418,890.08, 578,051.16 and 227,903.66

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Solution

The fourth proportional to 418,890.08, 578,051.16 and 227,903.66 is: 314,497.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,890.08 : 578,051.16 = 227,903.66 : x
  2. Step 2: Convert to fraction form
    418,890.08/578,051.16 = 227,903.66/x
  3. Step 3: Cross multiply
    418,890.08x = 578,051.16 × 227,903.66
  4. Step 4: Simplify right side
    418,890.08x = 131,739,975,031.25
  5. Step 5: Solve for x
    x = 131,739,975,031.25/418,890.08
  6. Step 6: Final answer
    x = 314,497.72

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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.