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Finding the Fourth Proportional to 700,408.16, 966,599.44 and 428,390.72

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Solution

The fourth proportional to 700,408.16, 966,599.44 and 428,390.72 is: 591,201.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    700,408.16 : 966,599.44 = 428,390.72 : x
  2. Step 2: Convert to fraction form
    700,408.16/966,599.44 = 428,390.72/x
  3. Step 3: Cross multiply
    700,408.16x = 966,599.44 × 428,390.72
  4. Step 4: Simplify right side
    700,408.16x = 414,082,230,053.20
  5. Step 5: Solve for x
    x = 414,082,230,053.20/700,408.16
  6. Step 6: Final answer
    x = 591,201.32

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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.