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Finding the Fourth Proportional to 470,920.20, 706,380.30 and 155,336.10

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Solution

The fourth proportional to 470,920.20, 706,380.30 and 155,336.10 is: 233,004.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,920.20 : 706,380.30 = 155,336.10 : x
  2. Step 2: Convert to fraction form
    470,920.20/706,380.30 = 155,336.10/x
  3. Step 3: Cross multiply
    470,920.20x = 706,380.30 × 155,336.10
  4. Step 4: Simplify right side
    470,920.20x = 109,726,360,918.83
  5. Step 5: Solve for x
    x = 109,726,360,918.83/470,920.20
  6. Step 6: Final answer
    x = 233,004.15

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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.