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Finding the Fourth Proportional to 358,830, 495,185.40 and 208,014.48

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Solution

The fourth proportional to 358,830, 495,185.40 and 208,014.48 is: 287,059.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,830 : 495,185.40 = 208,014.48 : x
  2. Step 2: Convert to fraction form
    358,830/495,185.40 = 208,014.48/x
  3. Step 3: Cross multiply
    358,830x = 495,185.40 × 208,014.48
  4. Step 4: Simplify right side
    358,830x = 103,005,733,484.59
  5. Step 5: Solve for x
    x = 103,005,733,484.59/358,830
  6. Step 6: Final answer
    x = 287,059.98

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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.