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Finding the Fourth Proportional to 369,022.64, 509,300.16 and 207,909.60

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Solution

The fourth proportional to 369,022.64, 509,300.16 and 207,909.60 is: 286,942.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,022.64 : 509,300.16 = 207,909.60 : x
  2. Step 2: Convert to fraction form
    369,022.64/509,300.16 = 207,909.60/x
  3. Step 3: Cross multiply
    369,022.64x = 509,300.16 × 207,909.60
  4. Step 4: Simplify right side
    369,022.64x = 105,888,392,545.54
  5. Step 5: Solve for x
    x = 105,888,392,545.54/369,022.64
  6. Step 6: Final answer
    x = 286,942.81

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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.