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Finding the Fourth Proportional to 470,825.80, 705,317.10 and 283,280.20

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Solution

The fourth proportional to 470,825.80, 705,317.10 and 283,280.20 is: 424,365.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,825.80 : 705,317.10 = 283,280.20 : x
  2. Step 2: Convert to fraction form
    470,825.80/705,317.10 = 283,280.20/x
  3. Step 3: Cross multiply
    470,825.80x = 705,317.10 × 283,280.20
  4. Step 4: Simplify right side
    470,825.80x = 199,802,369,151.42
  5. Step 5: Solve for x
    x = 199,802,369,151.42/470,825.80
  6. Step 6: Final answer
    x = 424,365.80

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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.