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Finding the Fourth Proportional to 470,830, 649,733.52 and 255,965.08

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Solution

The fourth proportional to 470,830, 649,733.52 and 255,965.08 is: 353,225.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,830 : 649,733.52 = 255,965.08 : x
  2. Step 2: Convert to fraction form
    470,830/649,733.52 = 255,965.08/x
  3. Step 3: Cross multiply
    470,830x = 649,733.52 × 255,965.08
  4. Step 4: Simplify right side
    470,830x = 166,309,092,425.48
  5. Step 5: Solve for x
    x = 166,309,092,425.48/470,830
  6. Step 6: Final answer
    x = 353,225.35

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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.