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Finding the Fourth Proportional to 357,711.42, 493,148.51 and 285,359.87

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Solution

The fourth proportional to 357,711.42, 493,148.51 and 285,359.87 is: 393,403.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,711.42 : 493,148.51 = 285,359.87 : x
  2. Step 2: Convert to fraction form
    357,711.42/493,148.51 = 285,359.87/x
  3. Step 3: Cross multiply
    357,711.42x = 493,148.51 × 285,359.87
  4. Step 4: Simplify right side
    357,711.42x = 140,724,796,474.60
  5. Step 5: Solve for x
    x = 140,724,796,474.60/357,711.42
  6. Step 6: Final answer
    x = 393,403.15

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.