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Finding the Fourth Proportional to 509,717.33, 703,327.13 and 283,357.01

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Solution

The fourth proportional to 509,717.33, 703,327.13 and 283,357.01 is: 390,986.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,717.33 : 703,327.13 = 283,357.01 : x
  2. Step 2: Convert to fraction form
    509,717.33/703,327.13 = 283,357.01/x
  3. Step 3: Cross multiply
    509,717.33x = 703,327.13 × 283,357.01
  4. Step 4: Simplify right side
    509,717.33x = 199,292,671,191.90
  5. Step 5: Solve for x
    x = 199,292,671,191.90/509,717.33
  6. Step 6: Final answer
    x = 390,986.65

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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.