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Finding the Fourth Proportional to 405,731.68, 605,624.84 and 357,849.52

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Solution

The fourth proportional to 405,731.68, 605,624.84 and 357,849.52 is: 534,152.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,731.68 : 605,624.84 = 357,849.52 : x
  2. Step 2: Convert to fraction form
    405,731.68/605,624.84 = 357,849.52/x
  3. Step 3: Cross multiply
    405,731.68x = 605,624.84 × 357,849.52
  4. Step 4: Simplify right side
    405,731.68x = 216,722,558,294.08
  5. Step 5: Solve for x
    x = 216,722,558,294.08/405,731.68
  6. Step 6: Final answer
    x = 534,152.42

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.