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Finding the Fourth Proportional to 763,802.43, 1,054,064.03 and 419,642.79

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Solution

The fourth proportional to 763,802.43, 1,054,064.03 and 419,642.79 is: 579,116.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    763,802.43 : 1,054,064.03 = 419,642.79 : x
  2. Step 2: Convert to fraction form
    763,802.43/1,054,064.03 = 419,642.79/x
  3. Step 3: Cross multiply
    763,802.43x = 1,054,064.03 × 419,642.79
  4. Step 4: Simplify right side
    763,802.43x = 442,330,368,289.63
  5. Step 5: Solve for x
    x = 442,330,368,289.63/763,802.43
  6. Step 6: Final answer
    x = 579,116.21

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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.