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Finding the Fourth Proportional to 288,608.06, 432,912.06 and 78,240.52

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Solution

The fourth proportional to 288,608.06, 432,912.06 and 78,240.52 is: 117,360.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,608.06 : 432,912.06 = 78,240.52 : x
  2. Step 2: Convert to fraction form
    288,608.06/432,912.06 = 78,240.52/x
  3. Step 3: Cross multiply
    288,608.06x = 432,912.06 × 78,240.52
  4. Step 4: Simplify right side
    288,608.06x = 33,871,264,688.67
  5. Step 5: Solve for x
    x = 33,871,264,688.67/288,608.06
  6. Step 6: Final answer
    x = 117,360.77

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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.