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Finding the Fourth Proportional to 553,837.30, 830,282.05 and 212,525.66

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Solution

The fourth proportional to 553,837.30, 830,282.05 and 212,525.66 is: 318,606.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,837.30 : 830,282.05 = 212,525.66 : x
  2. Step 2: Convert to fraction form
    553,837.30/830,282.05 = 212,525.66/x
  3. Step 3: Cross multiply
    553,837.30x = 830,282.05 × 212,525.66
  4. Step 4: Simplify right side
    553,837.30x = 176,456,238,333.43
  5. Step 5: Solve for x
    x = 176,456,238,333.43/553,837.30
  6. Step 6: Final answer
    x = 318,606.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.