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Finding the Fourth Proportional to 497,907.74, 687,109.56 and 283,047.82

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Solution

The fourth proportional to 497,907.74, 687,109.56 and 283,047.82 is: 390,604.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,907.74 : 687,109.56 = 283,047.82 : x
  2. Step 2: Convert to fraction form
    497,907.74/687,109.56 = 283,047.82/x
  3. Step 3: Cross multiply
    497,907.74x = 687,109.56 × 283,047.82
  4. Step 4: Simplify right side
    497,907.74x = 194,484,863,059.16
  5. Step 5: Solve for x
    x = 194,484,863,059.16/497,907.74
  6. Step 6: Final answer
    x = 390,604.22

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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.