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Finding the Fourth Proportional to 392,710.50, 589,065.76 and 97,222.50

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Solution

The fourth proportional to 392,710.50, 589,065.76 and 97,222.50 is: 145,833.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,710.50 : 589,065.76 = 97,222.50 : x
  2. Step 2: Convert to fraction form
    392,710.50/589,065.76 = 97,222.50/x
  3. Step 3: Cross multiply
    392,710.50x = 589,065.76 × 97,222.50
  4. Step 4: Simplify right side
    392,710.50x = 57,270,445,851.60
  5. Step 5: Solve for x
    x = 57,270,445,851.60/392,710.50
  6. Step 6: Final answer
    x = 145,833.75

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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.