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Finding the Fourth Proportional to 458,836, 632,919.12 and 288,774.88

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Solution

The fourth proportional to 458,836, 632,919.12 and 288,774.88 is: 398,336.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,836 : 632,919.12 = 288,774.88 : x
  2. Step 2: Convert to fraction form
    458,836/632,919.12 = 288,774.88/x
  3. Step 3: Cross multiply
    458,836x = 632,919.12 × 288,774.88
  4. Step 4: Simplify right side
    458,836x = 182,771,142,927.71
  5. Step 5: Solve for x
    x = 182,771,142,927.71/458,836
  6. Step 6: Final answer
    x = 398,336.54

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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.