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Finding the Fourth Proportional to 459,564.40, 689,908.20 and 260,023.60

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Solution

The fourth proportional to 459,564.40, 689,908.20 and 260,023.60 is: 390,353.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,564.40 : 689,908.20 = 260,023.60 : x
  2. Step 2: Convert to fraction form
    459,564.40/689,908.20 = 260,023.60/x
  3. Step 3: Cross multiply
    459,564.40x = 689,908.20 × 260,023.60
  4. Step 4: Simplify right side
    459,564.40x = 179,392,413,833.52
  5. Step 5: Solve for x
    x = 179,392,413,833.52/459,564.40
  6. Step 6: Final answer
    x = 390,353.16

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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.