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Finding the Fourth Proportional to 343,374.78, 514,898.73 and 106,720.86

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Solution

The fourth proportional to 343,374.78, 514,898.73 and 106,720.86 is: 160,030.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,374.78 : 514,898.73 = 106,720.86 : x
  2. Step 2: Convert to fraction form
    343,374.78/514,898.73 = 106,720.86/x
  3. Step 3: Cross multiply
    343,374.78x = 514,898.73 × 106,720.86
  4. Step 4: Simplify right side
    343,374.78x = 54,950,435,278.51
  5. Step 5: Solve for x
    x = 54,950,435,278.51/343,374.78
  6. Step 6: Final answer
    x = 160,030.49

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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.