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Finding the Fourth Proportional to 345,698.41, 518,547.61 and 109,059.54

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Solution

The fourth proportional to 345,698.41, 518,547.61 and 109,059.54 is: 163,589.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,698.41 : 518,547.61 = 109,059.54 : x
  2. Step 2: Convert to fraction form
    345,698.41/518,547.61 = 109,059.54/x
  3. Step 3: Cross multiply
    345,698.41x = 518,547.61 × 109,059.54
  4. Step 4: Simplify right side
    345,698.41x = 56,552,563,311.52
  5. Step 5: Solve for x
    x = 56,552,563,311.52/345,698.41
  6. Step 6: Final answer
    x = 163,589.31

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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.