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Finding the Fourth Proportional to 392,843, 589,264.50 and 97,355

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Solution

The fourth proportional to 392,843, 589,264.50 and 97,355 is: 146,032.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,843 : 589,264.50 = 97,355 : x
  2. Step 2: Convert to fraction form
    392,843/589,264.50 = 97,355/x
  3. Step 3: Cross multiply
    392,843x = 589,264.50 × 97,355
  4. Step 4: Simplify right side
    392,843x = 57,367,845,397.50
  5. Step 5: Solve for x
    x = 57,367,845,397.50/392,843
  6. Step 6: Final answer
    x = 146,032.50

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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.