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Finding the Fourth Proportional to 345,447.84, 518,322.48 and 120,969.39

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Solution

The fourth proportional to 345,447.84, 518,322.48 and 120,969.39 is: 181,506.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,447.84 : 518,322.48 = 120,969.39 : x
  2. Step 2: Convert to fraction form
    345,447.84/518,322.48 = 120,969.39/x
  3. Step 3: Cross multiply
    345,447.84x = 518,322.48 × 120,969.39
  4. Step 4: Simplify right side
    345,447.84x = 62,701,154,228.89
  5. Step 5: Solve for x
    x = 62,701,154,228.89/345,447.84
  6. Step 6: Final answer
    x = 181,506.86

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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.