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Finding the Fourth Proportional to 291,317.32, 402,056.18 and 164,017.80

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Solution

The fourth proportional to 291,317.32, 402,056.18 and 164,017.80 is: 226,366.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,317.32 : 402,056.18 = 164,017.80 : x
  2. Step 2: Convert to fraction form
    291,317.32/402,056.18 = 164,017.80/x
  3. Step 3: Cross multiply
    291,317.32x = 402,056.18 × 164,017.80
  4. Step 4: Simplify right side
    291,317.32x = 65,944,370,120.00
  5. Step 5: Solve for x
    x = 65,944,370,120.00/291,317.32
  6. Step 6: Final answer
    x = 226,366.12

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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.