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Finding the Fourth Proportional to 409,933.46, 565,708.94 and 228,657.12

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Solution

The fourth proportional to 409,933.46, 565,708.94 and 228,657.12 is: 315,547.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,933.46 : 565,708.94 = 228,657.12 : x
  2. Step 2: Convert to fraction form
    409,933.46/565,708.94 = 228,657.12/x
  3. Step 3: Cross multiply
    409,933.46x = 565,708.94 × 228,657.12
  4. Step 4: Simplify right side
    409,933.46x = 129,353,376,978.65
  5. Step 5: Solve for x
    x = 129,353,376,978.65/409,933.46
  6. Step 6: Final answer
    x = 315,547.25

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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.