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Finding the Fourth Proportional to 458,345.64, 632,633.25 and 313,210.20

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Solution

The fourth proportional to 458,345.64, 632,633.25 and 313,210.20 is: 432,309.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,345.64 : 632,633.25 = 313,210.20 : x
  2. Step 2: Convert to fraction form
    458,345.64/632,633.25 = 313,210.20/x
  3. Step 3: Cross multiply
    458,345.64x = 632,633.25 × 313,210.20
  4. Step 4: Simplify right side
    458,345.64x = 198,147,186,759.15
  5. Step 5: Solve for x
    x = 198,147,186,759.15/458,345.64
  6. Step 6: Final answer
    x = 432,309.53

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.