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Finding the Fourth Proportional to 409,432.37, 565,010.91 and 228,151.94

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Solution

The fourth proportional to 409,432.37, 565,010.91 and 228,151.94 is: 314,846.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,432.37 : 565,010.91 = 228,151.94 : x
  2. Step 2: Convert to fraction form
    409,432.37/565,010.91 = 228,151.94/x
  3. Step 3: Cross multiply
    409,432.37x = 565,010.91 × 228,151.94
  4. Step 4: Simplify right side
    409,432.37x = 128,908,332,412.61
  5. Step 5: Solve for x
    x = 128,908,332,412.61/409,432.37
  6. Step 6: Final answer
    x = 314,846.46

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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.