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Finding the Fourth Proportional to 369,439.78, 509,816.70 and 208,293.42

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Solution

The fourth proportional to 369,439.78, 509,816.70 and 208,293.42 is: 287,439.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,439.78 : 509,816.70 = 208,293.42 : x
  2. Step 2: Convert to fraction form
    369,439.78/509,816.70 = 208,293.42/x
  3. Step 3: Cross multiply
    369,439.78x = 509,816.70 × 208,293.42
  4. Step 4: Simplify right side
    369,439.78x = 106,191,464,016.11
  5. Step 5: Solve for x
    x = 106,191,464,016.11/369,439.78
  6. Step 6: Final answer
    x = 287,439.17

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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.