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Finding the Fourth Proportional to 393,860.14, 589,390.53 and 288,417.58

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Solution

The fourth proportional to 393,860.14, 589,390.53 and 288,417.58 is: 431,601.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,860.14 : 589,390.53 = 288,417.58 : x
  2. Step 2: Convert to fraction form
    393,860.14/589,390.53 = 288,417.58/x
  3. Step 3: Cross multiply
    393,860.14x = 589,390.53 × 288,417.58
  4. Step 4: Simplify right side
    393,860.14x = 169,990,590,337.52
  5. Step 5: Solve for x
    x = 169,990,590,337.52/393,860.14
  6. Step 6: Final answer
    x = 431,601.41

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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.