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Finding the Fourth Proportional to 309,720.74, 427,564.80 and 207,709.04

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Solution

The fourth proportional to 309,720.74, 427,564.80 and 207,709.04 is: 286,739.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,720.74 : 427,564.80 = 207,709.04 : x
  2. Step 2: Convert to fraction form
    309,720.74/427,564.80 = 207,709.04/x
  3. Step 3: Cross multiply
    309,720.74x = 427,564.80 × 207,709.04
  4. Step 4: Simplify right side
    309,720.74x = 88,809,074,145.79
  5. Step 5: Solve for x
    x = 88,809,074,145.79/309,720.74
  6. Step 6: Final answer
    x = 286,739.19

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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.