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Finding the Fourth Proportional to 409,411.94, 564,980.94 and 228,119.96

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Solution

The fourth proportional to 409,411.94, 564,980.94 and 228,119.96 is: 314,801.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,411.94 : 564,980.94 = 228,119.96 : x
  2. Step 2: Convert to fraction form
    409,411.94/564,980.94 = 228,119.96/x
  3. Step 3: Cross multiply
    409,411.94x = 564,980.94 × 228,119.96
  4. Step 4: Simplify right side
    409,411.94x = 128,883,430,846.02
  5. Step 5: Solve for x
    x = 128,883,430,846.02/409,411.94
  6. Step 6: Final answer
    x = 314,801.35

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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.