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Finding the Fourth Proportional to 459,849.52, 689,878.10 and 140,030

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Solution

The fourth proportional to 459,849.52, 689,878.10 and 140,030 is: 210,076.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,849.52 : 689,878.10 = 140,030 : x
  2. Step 2: Convert to fraction form
    459,849.52/689,878.10 = 140,030/x
  3. Step 3: Cross multiply
    459,849.52x = 689,878.10 × 140,030
  4. Step 4: Simplify right side
    459,849.52x = 96,603,630,343
  5. Step 5: Solve for x
    x = 96,603,630,343/459,849.52
  6. Step 6: Final answer
    x = 210,076.61

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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.