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Finding the Fourth Proportional to 470,558.72, 649,375.13 and 255,698.72

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Solution

The fourth proportional to 470,558.72, 649,375.13 and 255,698.72 is: 352,866.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,558.72 : 649,375.13 = 255,698.72 : x
  2. Step 2: Convert to fraction form
    470,558.72/649,375.13 = 255,698.72/x
  3. Step 3: Cross multiply
    470,558.72x = 649,375.13 × 255,698.72
  4. Step 4: Simplify right side
    470,558.72x = 166,044,391,582.79
  5. Step 5: Solve for x
    x = 166,044,391,582.79/470,558.72
  6. Step 6: Final answer
    x = 352,866.47

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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.