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Finding the Fourth Proportional to 254,820, 382,214.88 and 77,328.48

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Solution

The fourth proportional to 254,820, 382,214.88 and 77,328.48 is: 115,988.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,820 : 382,214.88 = 77,328.48 : x
  2. Step 2: Convert to fraction form
    254,820/382,214.88 = 77,328.48/x
  3. Step 3: Cross multiply
    254,820x = 382,214.88 × 77,328.48
  4. Step 4: Simplify right side
    254,820x = 29,556,095,703.78
  5. Step 5: Solve for x
    x = 29,556,095,703.78/254,820
  6. Step 6: Final answer
    x = 115,988.13

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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.