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Finding the Fourth Proportional to 611,031.84, 916,329.04 and 211,565.40

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Solution

The fourth proportional to 611,031.84, 916,329.04 and 211,565.40 is: 317,272.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    611,031.84 : 916,329.04 = 211,565.40 : x
  2. Step 2: Convert to fraction form
    611,031.84/916,329.04 = 211,565.40/x
  3. Step 3: Cross multiply
    611,031.84x = 916,329.04 × 211,565.40
  4. Step 4: Simplify right side
    611,031.84x = 193,863,519,879.22
  5. Step 5: Solve for x
    x = 193,863,519,879.22/611,031.84
  6. Step 6: Final answer
    x = 317,272.37

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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.