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Finding the Fourth Proportional to 470,087.75, 648,719.28 and 255,227.76

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Solution

The fourth proportional to 470,087.75, 648,719.28 and 255,227.76 is: 352,213.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,087.75 : 648,719.28 = 255,227.76 : x
  2. Step 2: Convert to fraction form
    470,087.75/648,719.28 = 255,227.76/x
  3. Step 3: Cross multiply
    470,087.75x = 648,719.28 × 255,227.76
  4. Step 4: Simplify right side
    470,087.75x = 165,571,168,703.21
  5. Step 5: Solve for x
    x = 165,571,168,703.21/470,087.75
  6. Step 6: Final answer
    x = 352,213.32

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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.