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Finding the Fourth Proportional to 665,243.70, 917,775.81 and 410,152.02

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Solution

The fourth proportional to 665,243.70, 917,775.81 and 410,152.02 is: 565,849.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    665,243.70 : 917,775.81 = 410,152.02 : x
  2. Step 2: Convert to fraction form
    665,243.70/917,775.81 = 410,152.02/x
  3. Step 3: Cross multiply
    665,243.70x = 917,775.81 × 410,152.02
  4. Step 4: Simplify right side
    665,243.70x = 376,427,602,378.64
  5. Step 5: Solve for x
    x = 376,427,602,378.64/665,243.70
  6. Step 6: Final answer
    x = 565,849.18

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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.