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Finding the Fourth Proportional to 313,659,489.60, 470,489,234.40 and 210,347,359.20

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Solution

The fourth proportional to 313,659,489.60, 470,489,234.40 and 210,347,359.20 is: 315,521,038.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,659,489.60 : 470,489,234.40 = 210,347,359.20 : x
  2. Step 2: Convert to fraction form
    313,659,489.60/470,489,234.40 = 210,347,359.20/x
  3. Step 3: Cross multiply
    313,659,489.60x = 470,489,234.40 × 210,347,359.20
  4. Step 4: Simplify right side
    313,659,489.60x = 98,966,167,988,069,792
  5. Step 5: Solve for x
    x = 98,966,167,988,069,792/313,659,489.60
  6. Step 6: Final answer
    x = 315,521,038.80

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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.