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Finding the Fourth Proportional to 369,051.96, 509,293.26 and 207,908.94

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Solution

The fourth proportional to 369,051.96, 509,293.26 and 207,908.94 is: 286,915.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,051.96 : 509,293.26 = 207,908.94 : x
  2. Step 2: Convert to fraction form
    369,051.96/509,293.26 = 207,908.94/x
  3. Step 3: Cross multiply
    369,051.96x = 509,293.26 × 207,908.94
  4. Step 4: Simplify right side
    369,051.96x = 105,886,621,835.74
  5. Step 5: Solve for x
    x = 105,886,621,835.74/369,051.96
  6. Step 6: Final answer
    x = 286,915.21

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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.