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Finding the Fourth Proportional to 410,663.68, 616,381.94 and 208,405.00

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Solution

The fourth proportional to 410,663.68, 616,381.94 and 208,405.00 is: 312,803.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,663.68 : 616,381.94 = 208,405.00 : x
  2. Step 2: Convert to fraction form
    410,663.68/616,381.94 = 208,405.00/x
  3. Step 3: Cross multiply
    410,663.68x = 616,381.94 × 208,405.00
  4. Step 4: Simplify right side
    410,663.68x = 128,457,077,185.76
  5. Step 5: Solve for x
    x = 128,457,077,185.76/410,663.68
  6. Step 6: Final answer
    x = 312,803.60

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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.