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Finding the Fourth Proportional to 452,459.02, 677,654.91 and 215,967.78

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Solution

The fourth proportional to 452,459.02, 677,654.91 and 215,967.78 is: 323,458.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,459.02 : 677,654.91 = 215,967.78 : x
  2. Step 2: Convert to fraction form
    452,459.02/677,654.91 = 215,967.78/x
  3. Step 3: Cross multiply
    452,459.02x = 677,654.91 × 215,967.78
  4. Step 4: Simplify right side
    452,459.02x = 146,351,626,518.80
  5. Step 5: Solve for x
    x = 146,351,626,518.80/452,459.02
  6. Step 6: Final answer
    x = 323,458.30

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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.