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Finding the Fourth Proportional to 458,746.74, 688,345.56 and 206,205.66

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Solution

The fourth proportional to 458,746.74, 688,345.56 and 206,205.66 is: 309,409.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,746.74 : 688,345.56 = 206,205.66 : x
  2. Step 2: Convert to fraction form
    458,746.74/688,345.56 = 206,205.66/x
  3. Step 3: Cross multiply
    458,746.74x = 688,345.56 × 206,205.66
  4. Step 4: Simplify right side
    458,746.74x = 141,940,750,507.87
  5. Step 5: Solve for x
    x = 141,940,750,507.87/458,746.74
  6. Step 6: Final answer
    x = 309,409.83

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1.5x scale

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.