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Finding the Fourth Proportional to 470,892.70, 649,814.16 and 256,025.35

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Solution

The fourth proportional to 470,892.70, 649,814.16 and 256,025.35 is: 353,305.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,892.70 : 649,814.16 = 256,025.35 : x
  2. Step 2: Convert to fraction form
    470,892.70/649,814.16 = 256,025.35/x
  3. Step 3: Cross multiply
    470,892.70x = 649,814.16 × 256,025.35
  4. Step 4: Simplify right side
    470,892.70x = 166,368,897,748.96
  5. Step 5: Solve for x
    x = 166,368,897,748.96/470,892.70
  6. Step 6: Final answer
    x = 353,305.32

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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.