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Finding the Fourth Proportional to 291,339.90, 436,831.65 and 113,642.10

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Solution

The fourth proportional to 291,339.90, 436,831.65 and 113,642.10 is: 170,393.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,339.90 : 436,831.65 = 113,642.10 : x
  2. Step 2: Convert to fraction form
    291,339.90/436,831.65 = 113,642.10/x
  3. Step 3: Cross multiply
    291,339.90x = 436,831.65 × 113,642.10
  4. Step 4: Simplify right side
    291,339.90x = 49,642,466,052.47
  5. Step 5: Solve for x
    x = 49,642,466,052.47/291,339.90
  6. Step 6: Final answer
    x = 170,393.64

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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.