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Finding the Fourth Proportional to 417,688.48, 626,521.38 and 289,479.52

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Solution

The fourth proportional to 417,688.48, 626,521.38 and 289,479.52 is: 434,211.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,688.48 : 626,521.38 = 289,479.52 : x
  2. Step 2: Convert to fraction form
    417,688.48/626,521.38 = 289,479.52/x
  3. Step 3: Cross multiply
    417,688.48x = 626,521.38 × 289,479.52
  4. Step 4: Simplify right side
    417,688.48x = 181,365,108,352.14
  5. Step 5: Solve for x
    x = 181,365,108,352.14/417,688.48
  6. Step 6: Final answer
    x = 434,211.42

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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.