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Finding the Fourth Proportional to 507,015, 761,270.12 and 282,813.48

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Solution

The fourth proportional to 507,015, 761,270.12 and 282,813.48 is: 424,637.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,015 : 761,270.12 = 282,813.48 : x
  2. Step 2: Convert to fraction form
    507,015/761,270.12 = 282,813.48/x
  3. Step 3: Cross multiply
    507,015x = 761,270.12 × 282,813.48
  4. Step 4: Simplify right side
    507,015x = 215,297,451,857.22
  5. Step 5: Solve for x
    x = 215,297,451,857.22/507,015
  6. Step 6: Final answer
    x = 424,637.24

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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.