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Finding the Fourth Proportional to 420,596.64, 630,800.64 and 121,010.40

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Solution

The fourth proportional to 420,596.64, 630,800.64 and 121,010.40 is: 181,488.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,596.64 : 630,800.64 = 121,010.40 : x
  2. Step 2: Convert to fraction form
    420,596.64/630,800.64 = 121,010.40/x
  3. Step 3: Cross multiply
    420,596.64x = 630,800.64 × 121,010.40
  4. Step 4: Simplify right side
    420,596.64x = 76,333,437,766.66
  5. Step 5: Solve for x
    x = 76,333,437,766.66/420,596.64
  6. Step 6: Final answer
    x = 181,488.46

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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.