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Finding the Fourth Proportional to 277,486.84, 382,838.10 and 180,646.60

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Solution

The fourth proportional to 277,486.84, 382,838.10 and 180,646.60 is: 249,231.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,486.84 : 382,838.10 = 180,646.60 : x
  2. Step 2: Convert to fraction form
    277,486.84/382,838.10 = 180,646.60/x
  3. Step 3: Cross multiply
    277,486.84x = 382,838.10 × 180,646.60
  4. Step 4: Simplify right side
    277,486.84x = 69,158,401,115.46
  5. Step 5: Solve for x
    x = 69,158,401,115.46/277,486.84
  6. Step 6: Final answer
    x = 249,231.28

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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.