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Finding the Fourth Proportional to 497,881.48, 686,958.34 and 283,004.63

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Solution

The fourth proportional to 497,881.48, 686,958.34 and 283,004.63 is: 390,479.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,881.48 : 686,958.34 = 283,004.63 : x
  2. Step 2: Convert to fraction form
    497,881.48/686,958.34 = 283,004.63/x
  3. Step 3: Cross multiply
    497,881.48x = 686,958.34 × 283,004.63
  4. Step 4: Simplify right side
    497,881.48x = 194,412,385,987.30
  5. Step 5: Solve for x
    x = 194,412,385,987.30/497,881.48
  6. Step 6: Final answer
    x = 390,479.25

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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.