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Finding the Fourth Proportional to 342,307.14, 513,272.71 and 105,584.10

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Solution

The fourth proportional to 342,307.14, 513,272.71 and 105,584.10 is: 158,318.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,307.14 : 513,272.71 = 105,584.10 : x
  2. Step 2: Convert to fraction form
    342,307.14/513,272.71 = 105,584.10/x
  3. Step 3: Cross multiply
    342,307.14x = 513,272.71 × 105,584.10
  4. Step 4: Simplify right side
    342,307.14x = 54,193,437,139.91
  5. Step 5: Solve for x
    x = 54,193,437,139.91/342,307.14
  6. Step 6: Final answer
    x = 158,318.16

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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.