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Finding the Fourth Proportional to 281,417.81, 388,357.21 and 152,357.64

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Solution

The fourth proportional to 281,417.81, 388,357.21 and 152,357.64 is: 210,253.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,417.81 : 388,357.21 = 152,357.64 : x
  2. Step 2: Convert to fraction form
    281,417.81/388,357.21 = 152,357.64/x
  3. Step 3: Cross multiply
    281,417.81x = 388,357.21 × 152,357.64
  4. Step 4: Simplify right side
    281,417.81x = 59,169,187,992.58
  5. Step 5: Solve for x
    x = 59,169,187,992.58/281,417.81
  6. Step 6: Final answer
    x = 210,253.89

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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.