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Finding the Fourth Proportional to 369,114.68, 509,359.32 and 207,979.16

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Solution

The fourth proportional to 369,114.68, 509,359.32 and 207,979.16 is: 287,000.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,114.68 : 509,359.32 = 207,979.16 : x
  2. Step 2: Convert to fraction form
    369,114.68/509,359.32 = 207,979.16/x
  3. Step 3: Cross multiply
    369,114.68x = 509,359.32 × 207,979.16
  4. Step 4: Simplify right side
    369,114.68x = 105,936,123,511.77
  5. Step 5: Solve for x
    x = 105,936,123,511.77/369,114.68
  6. Step 6: Final answer
    x = 287,000.57

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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.