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Finding the Fourth Proportional to 456,628.86, 630,324.45 and 408,799.08

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Solution

The fourth proportional to 456,628.86, 630,324.45 and 408,799.08 is: 564,300.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,628.86 : 630,324.45 = 408,799.08 : x
  2. Step 2: Convert to fraction form
    456,628.86/630,324.45 = 408,799.08/x
  3. Step 3: Cross multiply
    456,628.86x = 630,324.45 × 408,799.08
  4. Step 4: Simplify right side
    456,628.86x = 257,676,055,261.51
  5. Step 5: Solve for x
    x = 257,676,055,261.51/456,628.86
  6. Step 6: Final answer
    x = 564,300.85

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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.