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Finding the Fourth Proportional to 470,193.66, 649,205.28 and 289,148.94

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Solution

The fourth proportional to 470,193.66, 649,205.28 and 289,148.94 is: 399,233.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,193.66 : 649,205.28 = 289,148.94 : x
  2. Step 2: Convert to fraction form
    470,193.66/649,205.28 = 289,148.94/x
  3. Step 3: Cross multiply
    470,193.66x = 649,205.28 × 289,148.94
  4. Step 4: Simplify right side
    470,193.66x = 187,717,018,554.40
  5. Step 5: Solve for x
    x = 187,717,018,554.40/470,193.66
  6. Step 6: Final answer
    x = 399,233.41

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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.