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Finding the Fourth Proportional to 419,168.52, 578,362.86 and 249,369.48

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Solution

The fourth proportional to 419,168.52, 578,362.86 and 249,369.48 is: 344,076.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,168.52 : 578,362.86 = 249,369.48 : x
  2. Step 2: Convert to fraction form
    419,168.52/578,362.86 = 249,369.48/x
  3. Step 3: Cross multiply
    419,168.52x = 578,362.86 × 249,369.48
  4. Step 4: Simplify right side
    419,168.52x = 144,226,045,649.51
  5. Step 5: Solve for x
    x = 144,226,045,649.51/419,168.52
  6. Step 6: Final answer
    x = 344,076.52

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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.