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Finding the Fourth Proportional to 420,598.66, 630,894.48 and 105,053.44

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Solution

The fourth proportional to 420,598.66, 630,894.48 and 105,053.44 is: 157,579.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,598.66 : 630,894.48 = 105,053.44 : x
  2. Step 2: Convert to fraction form
    420,598.66/630,894.48 = 105,053.44/x
  3. Step 3: Cross multiply
    420,598.66x = 630,894.48 × 105,053.44
  4. Step 4: Simplify right side
    420,598.66x = 66,277,635,401.01
  5. Step 5: Solve for x
    x = 66,277,635,401.01/420,598.66
  6. Step 6: Final answer
    x = 157,579.28

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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.