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Finding the Fourth Proportional to 459,455.40, 689,178.78 and 159,935.40

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Solution

The fourth proportional to 459,455.40, 689,178.78 and 159,935.40 is: 239,901.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,455.40 : 689,178.78 = 159,935.40 : x
  2. Step 2: Convert to fraction form
    459,455.40/689,178.78 = 159,935.40/x
  3. Step 3: Cross multiply
    459,455.40x = 689,178.78 × 159,935.40
  4. Step 4: Simplify right side
    459,455.40x = 110,224,083,850.81
  5. Step 5: Solve for x
    x = 110,224,083,850.81/459,455.40
  6. Step 6: Final answer
    x = 239,901.60

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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.