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Finding the Fourth Proportional to 355,730.64, 491,073.72 and 210,490.76

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Solution

The fourth proportional to 355,730.64, 491,073.72 and 210,490.76 is: 290,575.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,730.64 : 491,073.72 = 210,490.76 : x
  2. Step 2: Convert to fraction form
    355,730.64/491,073.72 = 210,490.76/x
  3. Step 3: Cross multiply
    355,730.64x = 491,073.72 × 210,490.76
  4. Step 4: Simplify right side
    355,730.64x = 103,366,480,538.83
  5. Step 5: Solve for x
    x = 103,366,480,538.83/355,730.64
  6. Step 6: Final answer
    x = 290,575.14

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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.