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Finding the Fourth Proportional to 409,416.14, 564,977.31 and 228,118.70

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Solution

The fourth proportional to 409,416.14, 564,977.31 and 228,118.70 is: 314,794.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,416.14 : 564,977.31 = 228,118.70 : x
  2. Step 2: Convert to fraction form
    409,416.14/564,977.31 = 228,118.70/x
  3. Step 3: Cross multiply
    409,416.14x = 564,977.31 × 228,118.70
  4. Step 4: Simplify right side
    409,416.14x = 128,881,889,486.70
  5. Step 5: Solve for x
    x = 128,881,889,486.70/409,416.14
  6. Step 6: Final answer
    x = 314,794.35

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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.