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Finding the Fourth Proportional to 487,114.80, 728,703.90 and 421,286.10

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Solution

The fourth proportional to 487,114.80, 728,703.90 and 421,286.10 is: 630,226.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    487,114.80 : 728,703.90 = 421,286.10 : x
  2. Step 2: Convert to fraction form
    487,114.80/728,703.90 = 421,286.10/x
  3. Step 3: Cross multiply
    487,114.80x = 728,703.90 × 421,286.10
  4. Step 4: Simplify right side
    487,114.80x = 306,992,824,085.79
  5. Step 5: Solve for x
    x = 306,992,824,085.79/487,114.80
  6. Step 6: Final answer
    x = 630,226.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.