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Finding the Fourth Proportional to 314,049.60, 470,916.72 and 145,424.88

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Solution

The fourth proportional to 314,049.60, 470,916.72 and 145,424.88 is: 218,064.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,049.60 : 470,916.72 = 145,424.88 : x
  2. Step 2: Convert to fraction form
    314,049.60/470,916.72 = 145,424.88/x
  3. Step 3: Cross multiply
    314,049.60x = 470,916.72 × 145,424.88
  4. Step 4: Simplify right side
    314,049.60x = 68,483,007,495.99
  5. Step 5: Solve for x
    x = 68,483,007,495.99/314,049.60
  6. Step 6: Final answer
    x = 218,064.30

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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.