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Finding the Fourth Proportional to 497,881.63, 686,958.55 and 283,004.79

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Solution

The fourth proportional to 497,881.63, 686,958.55 and 283,004.79 is: 390,479.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,881.63 : 686,958.55 = 283,004.79 : x
  2. Step 2: Convert to fraction form
    497,881.63/686,958.55 = 283,004.79/x
  3. Step 3: Cross multiply
    497,881.63x = 686,958.55 × 283,004.79
  4. Step 4: Simplify right side
    497,881.63x = 194,412,556,897.85
  5. Step 5: Solve for x
    x = 194,412,556,897.85/497,881.63
  6. Step 6: Final answer
    x = 390,479.47

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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.