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Finding the Fourth Proportional to 470,658.57, 649,508.90 and 255,798.64

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Solution

The fourth proportional to 470,658.57, 649,508.90 and 255,798.64 is: 353,002.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,658.57 : 649,508.90 = 255,798.64 : x
  2. Step 2: Convert to fraction form
    470,658.57/649,508.90 = 255,798.64/x
  3. Step 3: Cross multiply
    470,658.57x = 649,508.90 × 255,798.64
  4. Step 4: Simplify right side
    470,658.57x = 166,143,490,385.13
  5. Step 5: Solve for x
    x = 166,143,490,385.13/470,658.57
  6. Step 6: Final answer
    x = 353,002.16

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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.