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Finding the Fourth Proportional to 509,347.88, 702,887.46 and 282,993.92

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Solution

The fourth proportional to 509,347.88, 702,887.46 and 282,993.92 is: 390,524.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,347.88 : 702,887.46 = 282,993.92 : x
  2. Step 2: Convert to fraction form
    509,347.88/702,887.46 = 282,993.92/x
  3. Step 3: Cross multiply
    509,347.88x = 702,887.46 × 282,993.92
  4. Step 4: Simplify right side
    509,347.88x = 198,912,877,624.24
  5. Step 5: Solve for x
    x = 198,912,877,624.24/509,347.88
  6. Step 6: Final answer
    x = 390,524.60

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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.