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Finding the Fourth Proportional to 470,892.70, 706,339.05 and 311,460.40

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Solution

The fourth proportional to 470,892.70, 706,339.05 and 311,460.40 is: 467,190.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,892.70 : 706,339.05 = 311,460.40 : x
  2. Step 2: Convert to fraction form
    470,892.70/706,339.05 = 311,460.40/x
  3. Step 3: Cross multiply
    470,892.70x = 706,339.05 × 311,460.40
  4. Step 4: Simplify right side
    470,892.70x = 219,996,643,048.62
  5. Step 5: Solve for x
    x = 219,996,643,048.62/470,892.70
  6. Step 6: Final answer
    x = 467,190.60

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1.5x scale

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.