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Finding the Fourth Proportional to 507,147, 760,862.76 and 203,754.21

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Solution

The fourth proportional to 507,147, 760,862.76 and 203,754.21 is: 305,688.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,147 : 760,862.76 = 203,754.21 : x
  2. Step 2: Convert to fraction form
    507,147/760,862.76 = 203,754.21/x
  3. Step 3: Cross multiply
    507,147x = 760,862.76 × 203,754.21
  4. Step 4: Simplify right side
    507,147x = 155,028,990,582.22
  5. Step 5: Solve for x
    x = 155,028,990,582.22/507,147
  6. Step 6: Final answer
    x = 305,688.47

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1.5x scale

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.