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Finding the Fourth Proportional to 515,586.72, 711,461.88 and 289,188.48

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Solution

The fourth proportional to 515,586.72, 711,461.88 and 289,188.48 is: 399,053.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,586.72 : 711,461.88 = 289,188.48 : x
  2. Step 2: Convert to fraction form
    515,586.72/711,461.88 = 289,188.48/x
  3. Step 3: Cross multiply
    515,586.72x = 711,461.88 × 289,188.48
  4. Step 4: Simplify right side
    515,586.72x = 205,746,579,655.14
  5. Step 5: Solve for x
    x = 205,746,579,655.14/515,586.72
  6. Step 6: Final answer
    x = 399,053.30

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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.