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Finding the Fourth Proportional to 392,709.80, 589,064.70 and 363,841.40

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Solution

The fourth proportional to 392,709.80, 589,064.70 and 363,841.40 is: 545,762.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,709.80 : 589,064.70 = 363,841.40 : x
  2. Step 2: Convert to fraction form
    392,709.80/589,064.70 = 363,841.40/x
  3. Step 3: Cross multiply
    392,709.80x = 589,064.70 × 363,841.40
  4. Step 4: Simplify right side
    392,709.80x = 214,326,125,138.58
  5. Step 5: Solve for x
    x = 214,326,125,138.58/392,709.80
  6. Step 6: Final answer
    x = 545,762.10

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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.