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Finding the Fourth Proportional to 277,400.80, 416,101.20 and 249,407.20

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Solution

The fourth proportional to 277,400.80, 416,101.20 and 249,407.20 is: 374,110.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,400.80 : 416,101.20 = 249,407.20 : x
  2. Step 2: Convert to fraction form
    277,400.80/416,101.20 = 249,407.20/x
  3. Step 3: Cross multiply
    277,400.80x = 416,101.20 × 249,407.20
  4. Step 4: Simplify right side
    277,400.80x = 103,778,635,208.64
  5. Step 5: Solve for x
    x = 103,778,635,208.64/277,400.80
  6. Step 6: Final answer
    x = 374,110.80

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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.