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Finding the Fourth Proportional to 340,970.96, 511,476.92 and 104,315.69

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Solution

The fourth proportional to 340,970.96, 511,476.92 and 104,315.69 is: 156,479.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,970.96 : 511,476.92 = 104,315.69 : x
  2. Step 2: Convert to fraction form
    340,970.96/511,476.92 = 104,315.69/x
  3. Step 3: Cross multiply
    340,970.96x = 511,476.92 × 104,315.69
  4. Step 4: Simplify right side
    340,970.96x = 53,355,068,977.17
  5. Step 5: Solve for x
    x = 53,355,068,977.17/340,970.96
  6. Step 6: Final answer
    x = 156,479.80

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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.