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Finding the Fourth Proportional to 409,966.65, 565,754.81 and 228,673.91

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Solution

The fourth proportional to 409,966.65, 565,754.81 and 228,673.91 is: 315,570.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,966.65 : 565,754.81 = 228,673.91 : x
  2. Step 2: Convert to fraction form
    409,966.65/565,754.81 = 228,673.91/x
  3. Step 3: Cross multiply
    409,966.65x = 565,754.81 × 228,673.91
  4. Step 4: Simplify right side
    409,966.65x = 129,373,364,775.03
  5. Step 5: Solve for x
    x = 129,373,364,775.03/409,966.65
  6. Step 6: Final answer
    x = 315,570.46

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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.