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Finding the Fourth Proportional to 420,377.85, 630,184.05 and 154,074.15

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Solution

The fourth proportional to 420,377.85, 630,184.05 and 154,074.15 is: 230,970.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,377.85 : 630,184.05 = 154,074.15 : x
  2. Step 2: Convert to fraction form
    420,377.85/630,184.05 = 154,074.15/x
  3. Step 3: Cross multiply
    420,377.85x = 630,184.05 × 154,074.15
  4. Step 4: Simplify right side
    420,377.85x = 97,095,071,847.31
  5. Step 5: Solve for x
    x = 97,095,071,847.31/420,377.85
  6. Step 6: Final answer
    x = 230,970.95

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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.