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Finding the Fourth Proportional to 497,478.40, 745,997.44 and 142,411.52

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Solution

The fourth proportional to 497,478.40, 745,997.44 and 142,411.52 is: 213,554.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,478.40 : 745,997.44 = 142,411.52 : x
  2. Step 2: Convert to fraction form
    497,478.40/745,997.44 = 142,411.52/x
  3. Step 3: Cross multiply
    497,478.40x = 745,997.44 × 142,411.52
  4. Step 4: Simplify right side
    497,478.40x = 106,238,629,346.51
  5. Step 5: Solve for x
    x = 106,238,629,346.51/497,478.40
  6. Step 6: Final answer
    x = 213,554.26

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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.