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Finding the Fourth Proportional to 459,345.48, 689,033.60 and 159,851.20

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Solution

The fourth proportional to 459,345.48, 689,033.60 and 159,851.20 is: 239,782.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,345.48 : 689,033.60 = 159,851.20 : x
  2. Step 2: Convert to fraction form
    459,345.48/689,033.60 = 159,851.20/x
  3. Step 3: Cross multiply
    459,345.48x = 689,033.60 × 159,851.20
  4. Step 4: Simplify right side
    459,345.48x = 110,142,847,800.32
  5. Step 5: Solve for x
    x = 110,142,847,800.32/459,345.48
  6. Step 6: Final answer
    x = 239,782.15

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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.