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Finding the Fourth Proportional to 470,253.25, 648,989.51 and 266,340.45

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Solution

The fourth proportional to 470,253.25, 648,989.51 and 266,340.45 is: 367,572.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,253.25 : 648,989.51 = 266,340.45 : x
  2. Step 2: Convert to fraction form
    470,253.25/648,989.51 = 266,340.45/x
  3. Step 3: Cross multiply
    470,253.25x = 648,989.51 × 266,340.45
  4. Step 4: Simplify right side
    470,253.25x = 172,852,158,375.47
  5. Step 5: Solve for x
    x = 172,852,158,375.47/470,253.25
  6. Step 6: Final answer
    x = 367,572.49

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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.