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Finding the Fourth Proportional to 508,999.20, 763,012.80 and 189,065.40

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Solution

The fourth proportional to 508,999.20, 763,012.80 and 189,065.40 is: 283,417.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,999.20 : 763,012.80 = 189,065.40 : x
  2. Step 2: Convert to fraction form
    508,999.20/763,012.80 = 189,065.40/x
  3. Step 3: Cross multiply
    508,999.20x = 763,012.80 × 189,065.40
  4. Step 4: Simplify right side
    508,999.20x = 144,259,320,237.12
  5. Step 5: Solve for x
    x = 144,259,320,237.12/508,999.20
  6. Step 6: Final answer
    x = 283,417.58

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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.