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Finding the Fourth Proportional to 291,898.89, 402,820.29 and 157,762.89

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Solution

The fourth proportional to 291,898.89, 402,820.29 and 157,762.89 is: 217,712.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,898.89 : 402,820.29 = 157,762.89 : x
  2. Step 2: Convert to fraction form
    291,898.89/402,820.29 = 157,762.89/x
  3. Step 3: Cross multiply
    291,898.89x = 402,820.29 × 157,762.89
  4. Step 4: Simplify right side
    291,898.89x = 63,550,093,101.04
  5. Step 5: Solve for x
    x = 63,550,093,101.04/291,898.89
  6. Step 6: Final answer
    x = 217,712.69

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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.