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Finding the Fourth Proportional to 509,386.72, 702,922.80 and 283,024.48

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Solution

The fourth proportional to 509,386.72, 702,922.80 and 283,024.48 is: 390,556.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,386.72 : 702,922.80 = 283,024.48 : x
  2. Step 2: Convert to fraction form
    509,386.72/702,922.80 = 283,024.48/x
  3. Step 3: Cross multiply
    509,386.72x = 702,922.80 × 283,024.48
  4. Step 4: Simplify right side
    509,386.72x = 198,944,359,950.14
  5. Step 5: Solve for x
    x = 198,944,359,950.14/509,386.72
  6. Step 6: Final answer
    x = 390,556.63

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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.