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Finding the Fourth Proportional to 458,345.40, 632,632.92 and 313,209.94

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Solution

The fourth proportional to 458,345.40, 632,632.92 and 313,209.94 is: 432,309.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,345.40 : 632,632.92 = 313,209.94 : x
  2. Step 2: Convert to fraction form
    458,345.40/632,632.92 = 313,209.94/x
  3. Step 3: Cross multiply
    458,345.40x = 632,632.92 × 313,209.94
  4. Step 4: Simplify right side
    458,345.40x = 198,146,918,915.23
  5. Step 5: Solve for x
    x = 198,146,918,915.23/458,345.40
  6. Step 6: Final answer
    x = 432,309.17

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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.