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Finding the Fourth Proportional to 466,681.92, 643,852.64 and 305,628.82

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Solution

The fourth proportional to 466,681.92, 643,852.64 and 305,628.82 is: 421,657.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,681.92 : 643,852.64 = 305,628.82 : x
  2. Step 2: Convert to fraction form
    466,681.92/643,852.64 = 305,628.82/x
  3. Step 3: Cross multiply
    466,681.92x = 643,852.64 × 305,628.82
  4. Step 4: Simplify right side
    466,681.92x = 196,779,922,617.09
  5. Step 5: Solve for x
    x = 196,779,922,617.09/466,681.92
  6. Step 6: Final answer
    x = 421,657.48

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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.