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Finding the Fourth Proportional to 493,647.07, 740,499.31 and 138,688.77

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Solution

The fourth proportional to 493,647.07, 740,499.31 and 138,688.77 is: 208,041.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,647.07 : 740,499.31 = 138,688.77 : x
  2. Step 2: Convert to fraction form
    493,647.07/740,499.31 = 138,688.77/x
  3. Step 3: Cross multiply
    493,647.07x = 740,499.31 × 138,688.77
  4. Step 4: Simplify right side
    493,647.07x = 102,698,934,787.25
  5. Step 5: Solve for x
    x = 102,698,934,787.25/493,647.07
  6. Step 6: Final answer
    x = 208,041.21

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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.