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Finding the Fourth Proportional to 342,164.46, 513,315 and 105,498.12

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Solution

The fourth proportional to 342,164.46, 513,315 and 105,498.12 is: 158,268.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,164.46 : 513,315 = 105,498.12 : x
  2. Step 2: Convert to fraction form
    342,164.46/513,315 = 105,498.12/x
  3. Step 3: Cross multiply
    342,164.46x = 513,315 × 105,498.12
  4. Step 4: Simplify right side
    342,164.46x = 54,153,767,467.80
  5. Step 5: Solve for x
    x = 54,153,767,467.80/342,164.46
  6. Step 6: Final answer
    x = 158,268.24

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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.