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Finding the Fourth Proportional to 507,411.15, 761,161.68 and 133,434.15

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Solution

The fourth proportional to 507,411.15, 761,161.68 and 133,434.15 is: 200,163.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,411.15 : 761,161.68 = 133,434.15 : x
  2. Step 2: Convert to fraction form
    507,411.15/761,161.68 = 133,434.15/x
  3. Step 3: Cross multiply
    507,411.15x = 761,161.68 × 133,434.15
  4. Step 4: Simplify right side
    507,411.15x = 101,564,961,783.37
  5. Step 5: Solve for x
    x = 101,564,961,783.37/507,411.15
  6. Step 6: Final answer
    x = 200,163.05

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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.