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Finding the Fourth Proportional to 580,826.40, 871,208.16 and 181,421.28

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Solution

The fourth proportional to 580,826.40, 871,208.16 and 181,421.28 is: 272,122.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    580,826.40 : 871,208.16 = 181,421.28 : x
  2. Step 2: Convert to fraction form
    580,826.40/871,208.16 = 181,421.28/x
  3. Step 3: Cross multiply
    580,826.40x = 871,208.16 × 181,421.28
  4. Step 4: Simplify right side
    580,826.40x = 158,055,699,533.65
  5. Step 5: Solve for x
    x = 158,055,699,533.65/580,826.40
  6. Step 6: Final answer
    x = 272,122.10

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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.