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Finding the Fourth Proportional to 517,795.95, 714,574.68 and 285,239.76

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Solution

The fourth proportional to 517,795.95, 714,574.68 and 285,239.76 is: 393,639.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,795.95 : 714,574.68 = 285,239.76 : x
  2. Step 2: Convert to fraction form
    517,795.95/714,574.68 = 285,239.76/x
  3. Step 3: Cross multiply
    517,795.95x = 714,574.68 × 285,239.76
  4. Step 4: Simplify right side
    517,795.95x = 203,825,110,225.28
  5. Step 5: Solve for x
    x = 203,825,110,225.28/517,795.95
  6. Step 6: Final answer
    x = 393,639.83

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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.