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Finding the Fourth Proportional to 470,409.72, 649,165.98 and 255,549.93

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Solution

The fourth proportional to 470,409.72, 649,165.98 and 255,549.93 is: 352,659.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,409.72 : 649,165.98 = 255,549.93 : x
  2. Step 2: Convert to fraction form
    470,409.72/649,165.98 = 255,549.93/x
  3. Step 3: Cross multiply
    470,409.72x = 649,165.98 × 255,549.93
  4. Step 4: Simplify right side
    470,409.72x = 165,894,320,747.38
  5. Step 5: Solve for x
    x = 165,894,320,747.38/470,409.72
  6. Step 6: Final answer
    x = 352,659.21

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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.