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Finding the Fourth Proportional to 355,728.64, 491,070.96 and 210,488.76

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Solution

The fourth proportional to 355,728.64, 491,070.96 and 210,488.76 is: 290,572.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,728.64 : 491,070.96 = 210,488.76 : x
  2. Step 2: Convert to fraction form
    355,728.64/491,070.96 = 210,488.76/x
  3. Step 3: Cross multiply
    355,728.64x = 491,070.96 × 210,488.76
  4. Step 4: Simplify right side
    355,728.64x = 103,364,917,442.41
  5. Step 5: Solve for x
    x = 103,364,917,442.41/355,728.64
  6. Step 6: Final answer
    x = 290,572.38

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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.