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Finding the Fourth Proportional to 400,278.64, 600,459.87 and 130,427.74

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Solution

The fourth proportional to 400,278.64, 600,459.87 and 130,427.74 is: 195,655.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,278.64 : 600,459.87 = 130,427.74 : x
  2. Step 2: Convert to fraction form
    400,278.64/600,459.87 = 130,427.74/x
  3. Step 3: Cross multiply
    400,278.64x = 600,459.87 × 130,427.74
  4. Step 4: Simplify right side
    400,278.64x = 78,316,623,804.79
  5. Step 5: Solve for x
    x = 78,316,623,804.79/400,278.64
  6. Step 6: Final answer
    x = 195,655.27

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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.