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Finding the Fourth Proportional to 346,686.50, 478,474.87 and 199,508.32

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Solution

The fourth proportional to 346,686.50, 478,474.87 and 199,508.32 is: 275,348.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,686.50 : 478,474.87 = 199,508.32 : x
  2. Step 2: Convert to fraction form
    346,686.50/478,474.87 = 199,508.32/x
  3. Step 3: Cross multiply
    346,686.50x = 478,474.87 × 199,508.32
  4. Step 4: Simplify right side
    346,686.50x = 95,459,718,173.33
  5. Step 5: Solve for x
    x = 95,459,718,173.33/346,686.50
  6. Step 6: Final answer
    x = 275,348.82

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.