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Finding the Fourth Proportional to 420,208.56, 630,441.24 and 251,916.24

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Solution

The fourth proportional to 420,208.56, 630,441.24 and 251,916.24 is: 377,951.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,208.56 : 630,441.24 = 251,916.24 : x
  2. Step 2: Convert to fraction form
    420,208.56/630,441.24 = 251,916.24/x
  3. Step 3: Cross multiply
    420,208.56x = 630,441.24 × 251,916.24
  4. Step 4: Simplify right side
    420,208.56x = 158,818,386,721.74
  5. Step 5: Solve for x
    x = 158,818,386,721.74/420,208.56
  6. Step 6: Final answer
    x = 377,951.34

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1.5x scale

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.