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Finding the Fourth Proportional to 470,575.71, 649,419.37 and 266,666.18

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Solution

The fourth proportional to 470,575.71, 649,419.37 and 266,666.18 is: 368,013.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,575.71 : 649,419.37 = 266,666.18 : x
  2. Step 2: Convert to fraction form
    470,575.71/649,419.37 = 266,666.18/x
  3. Step 3: Cross multiply
    470,575.71x = 649,419.37 × 266,666.18
  4. Step 4: Simplify right side
    470,575.71x = 173,178,178,702.14
  5. Step 5: Solve for x
    x = 173,178,178,702.14/470,575.71
  6. Step 6: Final answer
    x = 368,013.42

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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.