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Finding the Fourth Proportional to 414,459.48, 620,866.12 and 319,359.72

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Solution

The fourth proportional to 414,459.48, 620,866.12 and 319,359.72 is: 478,405.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,459.48 : 620,866.12 = 319,359.72 : x
  2. Step 2: Convert to fraction form
    414,459.48/620,866.12 = 319,359.72/x
  3. Step 3: Cross multiply
    414,459.48x = 620,866.12 × 319,359.72
  4. Step 4: Simplify right side
    414,459.48x = 198,279,630,240.69
  5. Step 5: Solve for x
    x = 198,279,630,240.69/414,459.48
  6. Step 6: Final answer
    x = 478,405.34

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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.