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Finding the Fourth Proportional to 871,152, 1,198,457.28 and 833,827.20

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Solution

The fourth proportional to 871,152, 1,198,457.28 and 833,827.20 is: 1,147,108.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    871,152 : 1,198,457.28 = 833,827.20 : x
  2. Step 2: Convert to fraction form
    871,152/1,198,457.28 = 833,827.20/x
  3. Step 3: Cross multiply
    871,152x = 1,198,457.28 × 833,827.20
  4. Step 4: Simplify right side
    871,152x = 999,306,278,102.02
  5. Step 5: Solve for x
    x = 999,306,278,102.02/871,152
  6. Step 6: Final answer
    x = 1,147,108.98

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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.