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Finding the Fourth Proportional to 409,967.60, 615,066.60 and 199,612.40

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Solution

The fourth proportional to 409,967.60, 615,066.60 and 199,612.40 is: 299,474.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,967.60 : 615,066.60 = 199,612.40 : x
  2. Step 2: Convert to fraction form
    409,967.60/615,066.60 = 199,612.40/x
  3. Step 3: Cross multiply
    409,967.60x = 615,066.60 × 199,612.40
  4. Step 4: Simplify right side
    409,967.60x = 122,774,920,185.84
  5. Step 5: Solve for x
    x = 122,774,920,185.84/409,967.60
  6. Step 6: Final answer
    x = 299,474.69

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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.