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Finding the Fourth Proportional to 356,312.25, 491,696.51 and 213,151.41

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Solution

The fourth proportional to 356,312.25, 491,696.51 and 213,151.41 is: 294,140.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,312.25 : 491,696.51 = 213,151.41 : x
  2. Step 2: Convert to fraction form
    356,312.25/491,696.51 = 213,151.41/x
  3. Step 3: Cross multiply
    356,312.25x = 491,696.51 × 213,151.41
  4. Step 4: Simplify right side
    356,312.25x = 104,805,803,332.82
  5. Step 5: Solve for x
    x = 104,805,803,332.82/356,312.25
  6. Step 6: Final answer
    x = 294,140.33

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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.