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Finding the Fourth Proportional to 456,624.86, 630,318.93 and 408,795.08

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Solution

The fourth proportional to 456,624.86, 630,318.93 and 408,795.08 is: 564,295.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,624.86 : 630,318.93 = 408,795.08 : x
  2. Step 2: Convert to fraction form
    456,624.86/630,318.93 = 408,795.08/x
  3. Step 3: Cross multiply
    456,624.86x = 630,318.93 × 408,795.08
  4. Step 4: Simplify right side
    456,624.86x = 257,671,277,414.86
  5. Step 5: Solve for x
    x = 257,671,277,414.86/456,624.86
  6. Step 6: Final answer
    x = 564,295.33

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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.