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Finding the Fourth Proportional to 497,643.76, 746,342.61 and 213,302.07

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Solution

The fourth proportional to 497,643.76, 746,342.61 and 213,302.07 is: 319,900.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,643.76 : 746,342.61 = 213,302.07 : x
  2. Step 2: Convert to fraction form
    497,643.76/746,342.61 = 213,302.07/x
  3. Step 3: Cross multiply
    497,643.76x = 746,342.61 × 213,302.07
  4. Step 4: Simplify right side
    497,643.76x = 159,196,419,910.49
  5. Step 5: Solve for x
    x = 159,196,419,910.49/497,643.76
  6. Step 6: Final answer
    x = 319,900.36

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.