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Finding the Fourth Proportional to 459,576.40, 689,926.20 and 260,035.60

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Solution

The fourth proportional to 459,576.40, 689,926.20 and 260,035.60 is: 390,371.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,576.40 : 689,926.20 = 260,035.60 : x
  2. Step 2: Convert to fraction form
    459,576.40/689,926.20 = 260,035.60/x
  3. Step 3: Cross multiply
    459,576.40x = 689,926.20 × 260,035.60
  4. Step 4: Simplify right side
    459,576.40x = 179,405,373,372.72
  5. Step 5: Solve for x
    x = 179,405,373,372.72/459,576.40
  6. Step 6: Final answer
    x = 390,371.16

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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.