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Finding the Fourth Proportional to 517,220.33, 775,859.64 and 157,402.89

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Solution

The fourth proportional to 517,220.33, 775,859.64 and 157,402.89 is: 236,113.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,220.33 : 775,859.64 = 157,402.89 : x
  2. Step 2: Convert to fraction form
    517,220.33/775,859.64 = 157,402.89/x
  3. Step 3: Cross multiply
    517,220.33x = 775,859.64 × 157,402.89
  4. Step 4: Simplify right side
    517,220.33x = 122,122,549,570.36
  5. Step 5: Solve for x
    x = 122,122,549,570.36/517,220.33
  6. Step 6: Final answer
    x = 236,113.20

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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.