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Finding the Fourth Proportional to 393,666.54, 590,354.61 and 140,878.50

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Solution

The fourth proportional to 393,666.54, 590,354.61 and 140,878.50 is: 211,265.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,666.54 : 590,354.61 = 140,878.50 : x
  2. Step 2: Convert to fraction form
    393,666.54/590,354.61 = 140,878.50/x
  3. Step 3: Cross multiply
    393,666.54x = 590,354.61 × 140,878.50
  4. Step 4: Simplify right side
    393,666.54x = 83,168,271,924.89
  5. Step 5: Solve for x
    x = 83,168,271,924.89/393,666.54
  6. Step 6: Final answer
    x = 211,265.79

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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.