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Finding the Fourth Proportional to 470,897.12, 649,820.12 and 256,037.36

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Solution

The fourth proportional to 470,897.12, 649,820.12 and 256,037.36 is: 353,321.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,897.12 : 649,820.12 = 256,037.36 : x
  2. Step 2: Convert to fraction form
    470,897.12/649,820.12 = 256,037.36/x
  3. Step 3: Cross multiply
    470,897.12x = 649,820.12 × 256,037.36
  4. Step 4: Simplify right side
    470,897.12x = 166,378,223,470.40
  5. Step 5: Solve for x
    x = 166,378,223,470.40/470,897.12
  6. Step 6: Final answer
    x = 353,321.82

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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.