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Finding the Fourth Proportional to 369,113.92, 509,378.72 and 207,971.44

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Solution

The fourth proportional to 369,113.92, 509,378.72 and 207,971.44 is: 287,001.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,113.92 : 509,378.72 = 207,971.44 : x
  2. Step 2: Convert to fraction form
    369,113.92/509,378.72 = 207,971.44/x
  3. Step 3: Cross multiply
    369,113.92x = 509,378.72 × 207,971.44
  4. Step 4: Simplify right side
    369,113.92x = 105,936,225,903.76
  5. Step 5: Solve for x
    x = 105,936,225,903.76/369,113.92
  6. Step 6: Final answer
    x = 287,001.44

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1.5x scale

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.