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Finding the Fourth Proportional to 517,225.71, 775,867.74 and 157,408.28

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Solution

The fourth proportional to 517,225.71, 775,867.74 and 157,408.28 is: 236,121.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,225.71 : 775,867.74 = 157,408.28 : x
  2. Step 2: Convert to fraction form
    517,225.71/775,867.74 = 157,408.28/x
  3. Step 3: Cross multiply
    517,225.71x = 775,867.74 × 157,408.28
  4. Step 4: Simplify right side
    517,225.71x = 122,128,006,460.89
  5. Step 5: Solve for x
    x = 122,128,006,460.89/517,225.71
  6. Step 6: Final answer
    x = 236,121.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.