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Finding the Fourth Proportional to 281,351.49, 388,302.01 and 160,465.06

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Solution

The fourth proportional to 281,351.49, 388,302.01 and 160,465.06 is: 221,462.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,351.49 : 388,302.01 = 160,465.06 : x
  2. Step 2: Convert to fraction form
    281,351.49/388,302.01 = 160,465.06/x
  3. Step 3: Cross multiply
    281,351.49x = 388,302.01 × 160,465.06
  4. Step 4: Simplify right side
    281,351.49x = 62,308,905,332.77
  5. Step 5: Solve for x
    x = 62,308,905,332.77/281,351.49
  6. Step 6: Final answer
    x = 221,462.86

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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.