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Finding the Fourth Proportional to 342,002.94, 512,980.08 and 105,320.94

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Solution

The fourth proportional to 342,002.94, 512,980.08 and 105,320.94 is: 157,973.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,002.94 : 512,980.08 = 105,320.94 : x
  2. Step 2: Convert to fraction form
    342,002.94/512,980.08 = 105,320.94/x
  3. Step 3: Cross multiply
    342,002.94x = 512,980.08 × 105,320.94
  4. Step 4: Simplify right side
    342,002.94x = 54,027,544,226.88
  5. Step 5: Solve for x
    x = 54,027,544,226.88/342,002.94
  6. Step 6: Final answer
    x = 157,973.92

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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.