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Finding the Fourth Proportional to 470,885.44, 649,825.28 and 256,025.28

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Solution

The fourth proportional to 470,885.44, 649,825.28 and 256,025.28 is: 353,316.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,885.44 : 649,825.28 = 256,025.28 : x
  2. Step 2: Convert to fraction form
    470,885.44/649,825.28 = 256,025.28/x
  3. Step 3: Cross multiply
    470,885.44x = 649,825.28 × 256,025.28
  4. Step 4: Simplify right side
    470,885.44x = 166,371,699,263.08
  5. Step 5: Solve for x
    x = 166,371,699,263.08/470,885.44
  6. Step 6: Final answer
    x = 353,316.72

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.