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Finding the Fourth Proportional to 343,064.31, 473,273.48 and 207,054.78

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Solution

The fourth proportional to 343,064.31, 473,273.48 and 207,054.78 is: 285,641.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,064.31 : 473,273.48 = 207,054.78 : x
  2. Step 2: Convert to fraction form
    343,064.31/473,273.48 = 207,054.78/x
  3. Step 3: Cross multiply
    343,064.31x = 473,273.48 × 207,054.78
  4. Step 4: Simplify right side
    343,064.31x = 97,993,536,281.23
  5. Step 5: Solve for x
    x = 97,993,536,281.23/343,064.31
  6. Step 6: Final answer
    x = 285,641.89

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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.