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Finding the Fourth Proportional to 456,678.63, 630,217.71 and 252,743.58

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Solution

The fourth proportional to 456,678.63, 630,217.71 and 252,743.58 is: 348,786.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,678.63 : 630,217.71 = 252,743.58 : x
  2. Step 2: Convert to fraction form
    456,678.63/630,217.71 = 252,743.58/x
  3. Step 3: Cross multiply
    456,678.63x = 630,217.71 × 252,743.58
  4. Step 4: Simplify right side
    456,678.63x = 159,283,480,204.80
  5. Step 5: Solve for x
    x = 159,283,480,204.80/456,678.63
  6. Step 6: Final answer
    x = 348,786.80

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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.