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Finding the Fourth Proportional to 420,420.13, 630,255.20 and 154,118.48

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Solution

The fourth proportional to 420,420.13, 630,255.20 and 154,118.48 is: 231,040.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,420.13 : 630,255.20 = 154,118.48 : x
  2. Step 2: Convert to fraction form
    420,420.13/630,255.20 = 154,118.48/x
  3. Step 3: Cross multiply
    420,420.13x = 630,255.20 × 154,118.48
  4. Step 4: Simplify right side
    420,420.13x = 97,133,970,670.12
  5. Step 5: Solve for x
    x = 97,133,970,670.12/420,420.13
  6. Step 6: Final answer
    x = 231,040.25

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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.