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Finding the Fourth Proportional to 281,261.70, 388,094.49 and 160,411.77

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Solution

The fourth proportional to 281,261.70, 388,094.49 and 160,411.77 is: 221,341.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,261.70 : 388,094.49 = 160,411.77 : x
  2. Step 2: Convert to fraction form
    281,261.70/388,094.49 = 160,411.77/x
  3. Step 3: Cross multiply
    281,261.70x = 388,094.49 × 160,411.77
  4. Step 4: Simplify right side
    281,261.70x = 62,254,924,068.15
  5. Step 5: Solve for x
    x = 62,254,924,068.15/281,261.70
  6. Step 6: Final answer
    x = 221,341.63

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1.5x scale

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.