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Finding the Fourth Proportional to 409,411.92, 564,980.91 and 228,119.94

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Solution

The fourth proportional to 409,411.92, 564,980.91 and 228,119.94 is: 314,801.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,411.92 : 564,980.91 = 228,119.94 : x
  2. Step 2: Convert to fraction form
    409,411.92/564,980.91 = 228,119.94/x
  3. Step 3: Cross multiply
    409,411.92x = 564,980.91 × 228,119.94
  4. Step 4: Simplify right side
    409,411.92x = 128,883,411,290.35
  5. Step 5: Solve for x
    x = 128,883,411,290.35/409,411.92
  6. Step 6: Final answer
    x = 314,801.32

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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.