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Finding the Fourth Proportional to 290,490.84, 435,740.31 and 77,262.39

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Solution

The fourth proportional to 290,490.84, 435,740.31 and 77,262.39 is: 115,894.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,490.84 : 435,740.31 = 77,262.39 : x
  2. Step 2: Convert to fraction form
    290,490.84/435,740.31 = 77,262.39/x
  3. Step 3: Cross multiply
    290,490.84x = 435,740.31 × 77,262.39
  4. Step 4: Simplify right side
    290,490.84x = 33,666,337,769.94
  5. Step 5: Solve for x
    x = 33,666,337,769.94/290,490.84
  6. Step 6: Final answer
    x = 115,894.66

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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.