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Finding the Fourth Proportional to 493,645.07, 740,496.31 and 138,686.76

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Solution

The fourth proportional to 493,645.07, 740,496.31 and 138,686.76 is: 208,038.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,645.07 : 740,496.31 = 138,686.76 : x
  2. Step 2: Convert to fraction form
    493,645.07/740,496.31 = 138,686.76/x
  3. Step 3: Cross multiply
    493,645.07x = 740,496.31 × 138,686.76
  4. Step 4: Simplify right side
    493,645.07x = 102,697,036,456.00
  5. Step 5: Solve for x
    x = 102,697,036,456.00/493,645.07
  6. Step 6: Final answer
    x = 208,038.21

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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.