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Finding the Fourth Proportional to 255,116.88, 382,730.40 and 77,637.78

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Solution

The fourth proportional to 255,116.88, 382,730.40 and 77,637.78 is: 116,473.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,116.88 : 382,730.40 = 77,637.78 : x
  2. Step 2: Convert to fraction form
    255,116.88/382,730.40 = 77,637.78/x
  3. Step 3: Cross multiply
    255,116.88x = 382,730.40 × 77,637.78
  4. Step 4: Simplify right side
    255,116.88x = 29,714,338,594.51
  5. Step 5: Solve for x
    x = 29,714,338,594.51/255,116.88
  6. Step 6: Final answer
    x = 116,473.43

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1.5x scale

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.