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Finding the Fourth Proportional to 369,055.96, 509,298.78 and 207,912.94

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Solution

The fourth proportional to 369,055.96, 509,298.78 and 207,912.94 is: 286,920.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,055.96 : 509,298.78 = 207,912.94 : x
  2. Step 2: Convert to fraction form
    369,055.96/509,298.78 = 207,912.94/x
  3. Step 3: Cross multiply
    369,055.96x = 509,298.78 × 207,912.94
  4. Step 4: Simplify right side
    369,055.96x = 105,889,806,688.21
  5. Step 5: Solve for x
    x = 105,889,806,688.21/369,055.96
  6. Step 6: Final answer
    x = 286,920.73

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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.