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Finding the Fourth Proportional to 356,412.16, 491,837.04 and 213,098.32

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Solution

The fourth proportional to 356,412.16, 491,837.04 and 213,098.32 is: 294,068.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,412.16 : 491,837.04 = 213,098.32 : x
  2. Step 2: Convert to fraction form
    356,412.16/491,837.04 = 213,098.32/x
  3. Step 3: Cross multiply
    356,412.16x = 491,837.04 × 213,098.32
  4. Step 4: Simplify right side
    356,412.16x = 104,809,646,937.77
  5. Step 5: Solve for x
    x = 104,809,646,937.77/356,412.16
  6. Step 6: Final answer
    x = 294,068.66

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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.