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Finding the Fourth Proportional to 369,434.78, 509,809.80 and 208,288.42

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Solution

The fourth proportional to 369,434.78, 509,809.80 and 208,288.42 is: 287,432.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,434.78 : 509,809.80 = 208,288.42 : x
  2. Step 2: Convert to fraction form
    369,434.78/509,809.80 = 208,288.42/x
  3. Step 3: Cross multiply
    369,434.78x = 509,809.80 × 208,288.42
  4. Step 4: Simplify right side
    369,434.78x = 106,187,477,742.52
  5. Step 5: Solve for x
    x = 106,187,477,742.52/369,434.78
  6. Step 6: Final answer
    x = 287,432.27

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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.