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Finding the Fourth Proportional to 358,932, 495,326.16 and 208,116.48

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Solution

The fourth proportional to 358,932, 495,326.16 and 208,116.48 is: 287,200.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,932 : 495,326.16 = 208,116.48 : x
  2. Step 2: Convert to fraction form
    358,932/495,326.16 = 208,116.48/x
  3. Step 3: Cross multiply
    358,932x = 495,326.16 × 208,116.48
  4. Step 4: Simplify right side
    358,932x = 103,085,536,871.12
  5. Step 5: Solve for x
    x = 103,085,536,871.12/358,932
  6. Step 6: Final answer
    x = 287,200.74

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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.