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Finding the Fourth Proportional to 343,416.90, 514,979.55 and 165,978.30

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Solution

The fourth proportional to 343,416.90, 514,979.55 and 165,978.30 is: 248,896.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,416.90 : 514,979.55 = 165,978.30 : x
  2. Step 2: Convert to fraction form
    343,416.90/514,979.55 = 165,978.30/x
  3. Step 3: Cross multiply
    343,416.90x = 514,979.55 × 165,978.30
  4. Step 4: Simplify right side
    343,416.90x = 85,475,430,243.77
  5. Step 5: Solve for x
    x = 85,475,430,243.77/343,416.90
  6. Step 6: Final answer
    x = 248,896.98

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1.5x scale

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.