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Finding the Fourth Proportional to 470,690.16, 649,556.28 and 255,830.28

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Solution

The fourth proportional to 470,690.16, 649,556.28 and 255,830.28 is: 353,047.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,690.16 : 649,556.28 = 255,830.28 : x
  2. Step 2: Convert to fraction form
    470,690.16/649,556.28 = 255,830.28/x
  3. Step 3: Cross multiply
    470,690.16x = 649,556.28 × 255,830.28
  4. Step 4: Simplify right side
    470,690.16x = 166,176,164,988.16
  5. Step 5: Solve for x
    x = 166,176,164,988.16/470,690.16
  6. Step 6: Final answer
    x = 353,047.88

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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.