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Finding the Fourth Proportional to 369,434.15, 509,808.94 and 208,287.80

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Solution

The fourth proportional to 369,434.15, 509,808.94 and 208,287.80 is: 287,431.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,434.15 : 509,808.94 = 208,287.80 : x
  2. Step 2: Convert to fraction form
    369,434.15/509,808.94 = 208,287.80/x
  3. Step 3: Cross multiply
    369,434.15x = 509,808.94 × 208,287.80
  4. Step 4: Simplify right side
    369,434.15x = 106,186,979,463.17
  5. Step 5: Solve for x
    x = 106,186,979,463.17/369,434.15
  6. Step 6: Final answer
    x = 287,431.42

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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.