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Finding the Fourth Proportional to 417,964, 626,331.44 and 247,009.76

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Solution

The fourth proportional to 417,964, 626,331.44 and 247,009.76 is: 370,151.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,964 : 626,331.44 = 247,009.76 : x
  2. Step 2: Convert to fraction form
    417,964/626,331.44 = 247,009.76/x
  3. Step 3: Cross multiply
    417,964x = 626,331.44 × 247,009.76
  4. Step 4: Simplify right side
    417,964x = 154,709,978,674.85
  5. Step 5: Solve for x
    x = 154,709,978,674.85/417,964
  6. Step 6: Final answer
    x = 370,151.45

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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.