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Finding the Fourth Proportional to 409,758.82, 564,180.40 and 348,384.32

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Solution

The fourth proportional to 409,758.82, 564,180.40 and 348,384.32 is: 479,676.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,758.82 : 564,180.40 = 348,384.32 : x
  2. Step 2: Convert to fraction form
    409,758.82/564,180.40 = 348,384.32/x
  3. Step 3: Cross multiply
    409,758.82x = 564,180.40 × 348,384.32
  4. Step 4: Simplify right side
    409,758.82x = 196,551,605,011.33
  5. Step 5: Solve for x
    x = 196,551,605,011.33/409,758.82
  6. Step 6: Final answer
    x = 479,676.33

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1.5x scale

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.