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Finding the Fourth Proportional to 409,346.40, 564,859.44 and 228,039.84

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Solution

The fourth proportional to 409,346.40, 564,859.44 and 228,039.84 is: 314,673.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,346.40 : 564,859.44 = 228,039.84 : x
  2. Step 2: Convert to fraction form
    409,346.40/564,859.44 = 228,039.84/x
  3. Step 3: Cross multiply
    409,346.40x = 564,859.44 × 228,039.84
  4. Step 4: Simplify right side
    409,346.40x = 128,810,456,320.09
  5. Step 5: Solve for x
    x = 128,810,456,320.09/409,346.40
  6. Step 6: Final answer
    x = 314,673.48

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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.