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Finding the Fourth Proportional to 470,114.70, 648,758.32 and 255,254.90

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Solution

The fourth proportional to 470,114.70, 648,758.32 and 255,254.90 is: 352,251.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,114.70 : 648,758.32 = 255,254.90 : x
  2. Step 2: Convert to fraction form
    470,114.70/648,758.32 = 255,254.90/x
  3. Step 3: Cross multiply
    470,114.70x = 648,758.32 × 255,254.90
  4. Step 4: Simplify right side
    470,114.70x = 165,598,740,095.77
  5. Step 5: Solve for x
    x = 165,598,740,095.77/470,114.70
  6. Step 6: Final answer
    x = 352,251.78

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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.