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Finding the Fourth Proportional to 384,759.84, 531,116.64 and 344,402.40

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Solution

The fourth proportional to 384,759.84, 531,116.64 and 344,402.40 is: 475,407.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,759.84 : 531,116.64 = 344,402.40 : x
  2. Step 2: Convert to fraction form
    384,759.84/531,116.64 = 344,402.40/x
  3. Step 3: Cross multiply
    384,759.84x = 531,116.64 × 344,402.40
  4. Step 4: Simplify right side
    384,759.84x = 182,917,845,495.94
  5. Step 5: Solve for x
    x = 182,917,845,495.94/384,759.84
  6. Step 6: Final answer
    x = 475,407.84

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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.