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Finding the Fourth Proportional to 392,688, 589,037.76 and 97,200

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Solution

The fourth proportional to 392,688, 589,037.76 and 97,200 is: 145,801.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,688 : 589,037.76 = 97,200 : x
  2. Step 2: Convert to fraction form
    392,688/589,037.76 = 97,200/x
  3. Step 3: Cross multiply
    392,688x = 589,037.76 × 97,200
  4. Step 4: Simplify right side
    392,688x = 57,254,470,272
  5. Step 5: Solve for x
    x = 57,254,470,272/392,688
  6. Step 6: Final answer
    x = 145,801.43

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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.