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Finding the Fourth Proportional to 400,409,119.60, 600,613,679.40 and 314,412,780.40

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Solution

The fourth proportional to 400,409,119.60, 600,613,679.40 and 314,412,780.40 is: 471,619,170.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,409,119.60 : 600,613,679.40 = 314,412,780.40 : x
  2. Step 2: Convert to fraction form
    400,409,119.60/600,613,679.40 = 314,412,780.40/x
  3. Step 3: Cross multiply
    400,409,119.60x = 600,613,679.40 × 314,412,780.40
  4. Step 4: Simplify right side
    400,409,119.60x = 188,840,616,886,428,192
  5. Step 5: Solve for x
    x = 188,840,616,886,428,192/400,409,119.60
  6. Step 6: Final answer
    x = 471,619,170.60

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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.