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Finding the Fourth Proportional to 470,872.64, 649,800.98 and 256,012.80

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Solution

The fourth proportional to 470,872.64, 649,800.98 and 256,012.80 is: 353,295.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,872.64 : 649,800.98 = 256,012.80 : x
  2. Step 2: Convert to fraction form
    470,872.64/649,800.98 = 256,012.80/x
  3. Step 3: Cross multiply
    470,872.64x = 649,800.98 × 256,012.80
  4. Step 4: Simplify right side
    470,872.64x = 166,357,370,670.98
  5. Step 5: Solve for x
    x = 166,357,370,670.98/470,872.64
  6. Step 6: Final answer
    x = 353,295.89

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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.