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Finding the Fourth Proportional to 509,055.84, 702,412.76 and 294,215.90

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Solution

The fourth proportional to 509,055.84, 702,412.76 and 294,215.90 is: 405,969.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,055.84 : 702,412.76 = 294,215.90 : x
  2. Step 2: Convert to fraction form
    509,055.84/702,412.76 = 294,215.90/x
  3. Step 3: Cross multiply
    509,055.84x = 702,412.76 × 294,215.90
  4. Step 4: Simplify right side
    509,055.84x = 206,660,999,578.36
  5. Step 5: Solve for x
    x = 206,660,999,578.36/509,055.84
  6. Step 6: Final answer
    x = 405,969.21

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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.