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Finding the Fourth Proportional to 539,646, 809,508.24 and 207,222

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Solution

The fourth proportional to 539,646, 809,508.24 and 207,222 is: 310,848.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    539,646 : 809,508.24 = 207,222 : x
  2. Step 2: Convert to fraction form
    539,646/809,508.24 = 207,222/x
  3. Step 3: Cross multiply
    539,646x = 809,508.24 × 207,222
  4. Step 4: Simplify right side
    539,646x = 167,747,916,509.28
  5. Step 5: Solve for x
    x = 167,747,916,509.28/539,646
  6. Step 6: Final answer
    x = 310,848.07

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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.