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Finding the Fourth Proportional to 418,303.92, 577,235.70 and 227,316

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Solution

The fourth proportional to 418,303.92, 577,235.70 and 227,316 is: 313,683.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,303.92 : 577,235.70 = 227,316 : x
  2. Step 2: Convert to fraction form
    418,303.92/577,235.70 = 227,316/x
  3. Step 3: Cross multiply
    418,303.92x = 577,235.70 × 227,316
  4. Step 4: Simplify right side
    418,303.92x = 131,214,910,381.20
  5. Step 5: Solve for x
    x = 131,214,910,381.20/418,303.92
  6. Step 6: Final answer
    x = 313,683.20

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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.