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Finding the Fourth Proportional to 539,189.24, 808,214.70 and 202,009.64

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Solution

The fourth proportional to 539,189.24, 808,214.70 and 202,009.64 is: 302,801.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    539,189.24 : 808,214.70 = 202,009.64 : x
  2. Step 2: Convert to fraction form
    539,189.24/808,214.70 = 202,009.64/x
  3. Step 3: Cross multiply
    539,189.24x = 808,214.70 × 202,009.64
  4. Step 4: Simplify right side
    539,189.24x = 163,267,160,589.71
  5. Step 5: Solve for x
    x = 163,267,160,589.71/539,189.24
  6. Step 6: Final answer
    x = 302,801.22

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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.