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Finding the Fourth Proportional to 459,856.61, 689,888.69 and 140,037.09

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Solution

The fourth proportional to 459,856.61, 689,888.69 and 140,037.09 is: 210,087.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,856.61 : 689,888.69 = 140,037.09 : x
  2. Step 2: Convert to fraction form
    459,856.61/689,888.69 = 140,037.09/x
  3. Step 3: Cross multiply
    459,856.61x = 689,888.69 × 140,037.09
  4. Step 4: Simplify right side
    459,856.61x = 96,610,003,871.33
  5. Step 5: Solve for x
    x = 96,610,003,871.33/459,856.61
  6. Step 6: Final answer
    x = 210,087.24

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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.