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Finding the Fourth Proportional to 611,002.86, 916,505.06 and 211,643.59

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Solution

The fourth proportional to 611,002.86, 916,505.06 and 211,643.59 is: 317,465.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    611,002.86 : 916,505.06 = 211,643.59 : x
  2. Step 2: Convert to fraction form
    611,002.86/916,505.06 = 211,643.59/x
  3. Step 3: Cross multiply
    611,002.86x = 916,505.06 × 211,643.59
  4. Step 4: Simplify right side
    611,002.86x = 193,972,425,148.19
  5. Step 5: Solve for x
    x = 193,972,425,148.19/611,002.86
  6. Step 6: Final answer
    x = 317,465.66

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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.