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Finding the Fourth Proportional to 345,783, 518,878.68 and 146,090.52

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Solution

The fourth proportional to 345,783, 518,878.68 and 146,090.52 is: 219,222.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,783 : 518,878.68 = 146,090.52 : x
  2. Step 2: Convert to fraction form
    345,783/518,878.68 = 146,090.52/x
  3. Step 3: Cross multiply
    345,783x = 518,878.68 × 146,090.52
  4. Step 4: Simplify right side
    345,783x = 75,803,256,178.11
  5. Step 5: Solve for x
    x = 75,803,256,178.11/345,783
  6. Step 6: Final answer
    x = 219,222.04

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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.