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Finding the Fourth Proportional to 456,813.72, 630,641.70 and 284,784.12

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Solution

The fourth proportional to 456,813.72, 630,641.70 and 284,784.12 is: 393,150.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,813.72 : 630,641.70 = 284,784.12 : x
  2. Step 2: Convert to fraction form
    456,813.72/630,641.70 = 284,784.12/x
  3. Step 3: Cross multiply
    456,813.72x = 630,641.70 × 284,784.12
  4. Step 4: Simplify right side
    456,813.72x = 179,596,741,569.80
  5. Step 5: Solve for x
    x = 179,596,741,569.80/456,813.72
  6. Step 6: Final answer
    x = 393,150.94

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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.