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Finding the Fourth Proportional to 409,756.32, 564,176.96 and 348,381.81

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Solution

The fourth proportional to 409,756.32, 564,176.96 and 348,381.81 is: 479,672.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,756.32 : 564,176.96 = 348,381.81 : x
  2. Step 2: Convert to fraction form
    409,756.32/564,176.96 = 348,381.81/x
  3. Step 3: Cross multiply
    409,756.32x = 564,176.96 × 348,381.81
  4. Step 4: Simplify right side
    409,756.32x = 196,548,988,743.19
  5. Step 5: Solve for x
    x = 196,548,988,743.19/409,756.32
  6. Step 6: Final answer
    x = 479,672.87

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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.