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Finding the Fourth Proportional to 507,477.15, 700,321.14 and 286,715.43

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Solution

The fourth proportional to 507,477.15, 700,321.14 and 286,715.43 is: 395,668.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,477.15 : 700,321.14 = 286,715.43 : x
  2. Step 2: Convert to fraction form
    507,477.15/700,321.14 = 286,715.43/x
  3. Step 3: Cross multiply
    507,477.15x = 700,321.14 × 286,715.43
  4. Step 4: Simplify right side
    507,477.15x = 200,792,876,793.19
  5. Step 5: Solve for x
    x = 200,792,876,793.19/507,477.15
  6. Step 6: Final answer
    x = 395,668.80

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.