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Finding the Fourth Proportional to 409,422.57, 564,995.52 and 228,130.63

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Solution

The fourth proportional to 409,422.57, 564,995.52 and 228,130.63 is: 314,816.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,422.57 : 564,995.52 = 228,130.63 : x
  2. Step 2: Convert to fraction form
    409,422.57/564,995.52 = 228,130.63/x
  3. Step 3: Cross multiply
    409,422.57x = 564,995.52 × 228,130.63
  4. Step 4: Simplify right side
    409,422.57x = 128,892,782,512.29
  5. Step 5: Solve for x
    x = 128,892,782,512.29/409,422.57
  6. Step 6: Final answer
    x = 314,816.02

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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.