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Finding the Fourth Proportional to 458,830.48, 688,470.96 and 206,289.16

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Solution

The fourth proportional to 458,830.48, 688,470.96 and 206,289.16 is: 309,535.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,830.48 : 688,470.96 = 206,289.16 : x
  2. Step 2: Convert to fraction form
    458,830.48/688,470.96 = 206,289.16/x
  3. Step 3: Cross multiply
    458,830.48x = 688,470.96 × 206,289.16
  4. Step 4: Simplify right side
    458,830.48x = 142,024,096,022.79
  5. Step 5: Solve for x
    x = 142,024,096,022.79/458,830.48
  6. Step 6: Final answer
    x = 309,535.01

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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.