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Finding the Fourth Proportional to 470,978.47, 649,967.34 and 269,813.35

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Solution

The fourth proportional to 470,978.47, 649,967.34 and 269,813.35 is: 372,352.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,978.47 : 649,967.34 = 269,813.35 : x
  2. Step 2: Convert to fraction form
    470,978.47/649,967.34 = 269,813.35/x
  3. Step 3: Cross multiply
    470,978.47x = 649,967.34 × 269,813.35
  4. Step 4: Simplify right side
    470,978.47x = 175,369,865,395.99
  5. Step 5: Solve for x
    x = 175,369,865,395.99/470,978.47
  6. Step 6: Final answer
    x = 372,352.19

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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.