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Finding the Fourth Proportional to 470,929.20, 706,393.80 and 311,496.90

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Solution

The fourth proportional to 470,929.20, 706,393.80 and 311,496.90 is: 467,245.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,929.20 : 706,393.80 = 311,496.90 : x
  2. Step 2: Convert to fraction form
    470,929.20/706,393.80 = 311,496.90/x
  3. Step 3: Cross multiply
    470,929.20x = 706,393.80 × 311,496.90
  4. Step 4: Simplify right side
    470,929.20x = 220,039,478,879.22
  5. Step 5: Solve for x
    x = 220,039,478,879.22/470,929.20
  6. Step 6: Final answer
    x = 467,245.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.