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Finding the Fourth Proportional to 458,838.90, 633,215.64 and 313,948.58

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Solution

The fourth proportional to 458,838.90, 633,215.64 and 313,948.58 is: 433,261.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,838.90 : 633,215.64 = 313,948.58 : x
  2. Step 2: Convert to fraction form
    458,838.90/633,215.64 = 313,948.58/x
  3. Step 3: Cross multiply
    458,838.90x = 633,215.64 × 313,948.58
  4. Step 4: Simplify right side
    458,838.90x = 198,797,147,845.71
  5. Step 5: Solve for x
    x = 198,797,147,845.71/458,838.90
  6. Step 6: Final answer
    x = 433,261.32

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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.