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Finding the Fourth Proportional to 507,015.81, 761,271.34 and 282,814.29

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Solution

The fourth proportional to 507,015.81, 761,271.34 and 282,814.29 is: 424,638.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,015.81 : 761,271.34 = 282,814.29 : x
  2. Step 2: Convert to fraction form
    507,015.81/761,271.34 = 282,814.29/x
  3. Step 3: Cross multiply
    507,015.81x = 761,271.34 × 282,814.29
  4. Step 4: Simplify right side
    507,015.81x = 215,298,413,519.45
  5. Step 5: Solve for x
    x = 215,298,413,519.45/507,015.81
  6. Step 6: Final answer
    x = 424,638.46

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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.