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Finding the Fourth Proportional to 580,316.51, 870,720.78 and 281,020.09

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Solution

The fourth proportional to 580,316.51, 870,720.78 and 281,020.09 is: 421,649.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    580,316.51 : 870,720.78 = 281,020.09 : x
  2. Step 2: Convert to fraction form
    580,316.51/870,720.78 = 281,020.09/x
  3. Step 3: Cross multiply
    580,316.51x = 870,720.78 × 281,020.09
  4. Step 4: Simplify right side
    580,316.51x = 244,690,031,960.47
  5. Step 5: Solve for x
    x = 244,690,031,960.47/580,316.51
  6. Step 6: Final answer
    x = 421,649.27

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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.