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Finding the Fourth Proportional to 399,780.78, 602,368.42 and 330,260.82

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Solution

The fourth proportional to 399,780.78, 602,368.42 and 330,260.82 is: 497,619.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,780.78 : 602,368.42 = 330,260.82 : x
  2. Step 2: Convert to fraction form
    399,780.78/602,368.42 = 330,260.82/x
  3. Step 3: Cross multiply
    399,780.78x = 602,368.42 × 330,260.82
  4. Step 4: Simplify right side
    399,780.78x = 198,938,688,331.30
  5. Step 5: Solve for x
    x = 198,938,688,331.30/399,780.78
  6. Step 6: Final answer
    x = 497,619.44

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.