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Finding the Fourth Proportional to 910,170, 1,256,035.14 and 507,762

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Solution

The fourth proportional to 910,170, 1,256,035.14 and 507,762 is: 700,711.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    910,170 : 1,256,035.14 = 507,762 : x
  2. Step 2: Convert to fraction form
    910,170/1,256,035.14 = 507,762/x
  3. Step 3: Cross multiply
    910,170x = 1,256,035.14 × 507,762
  4. Step 4: Simplify right side
    910,170x = 637,766,914,756.68
  5. Step 5: Solve for x
    x = 637,766,914,756.68/910,170
  6. Step 6: Final answer
    x = 700,711.86

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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.