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Finding the Fourth Proportional to 507,005.28, 699,745.92 and 289,214.40

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Solution

The fourth proportional to 507,005.28, 699,745.92 and 289,214.40 is: 399,160.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,005.28 : 699,745.92 = 289,214.40 : x
  2. Step 2: Convert to fraction form
    507,005.28/699,745.92 = 289,214.40/x
  3. Step 3: Cross multiply
    507,005.28x = 699,745.92 × 289,214.40
  4. Step 4: Simplify right side
    507,005.28x = 202,376,596,405.25
  5. Step 5: Solve for x
    x = 202,376,596,405.25/507,005.28
  6. Step 6: Final answer
    x = 399,160.73

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1.5x scale

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.