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Finding the Fourth Proportional to 459,820.80, 689,731.20 and 347,846.40

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Solution

The fourth proportional to 459,820.80, 689,731.20 and 347,846.40 is: 521,769.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,820.80 : 689,731.20 = 347,846.40 : x
  2. Step 2: Convert to fraction form
    459,820.80/689,731.20 = 347,846.40/x
  3. Step 3: Cross multiply
    459,820.80x = 689,731.20 × 347,846.40
  4. Step 4: Simplify right side
    459,820.80x = 239,920,514,887.68
  5. Step 5: Solve for x
    x = 239,920,514,887.68/459,820.80
  6. Step 6: Final answer
    x = 521,769.60

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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.