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Finding the Fourth Proportional to 281,742.93, 388,804.48 and 152,684.98

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Solution

The fourth proportional to 281,742.93, 388,804.48 and 152,684.98 is: 210,704.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,742.93 : 388,804.48 = 152,684.98 : x
  2. Step 2: Convert to fraction form
    281,742.93/388,804.48 = 152,684.98/x
  3. Step 3: Cross multiply
    281,742.93x = 388,804.48 × 152,684.98
  4. Step 4: Simplify right side
    281,742.93x = 59,364,602,898.99
  5. Step 5: Solve for x
    x = 59,364,602,898.99/281,742.93
  6. Step 6: Final answer
    x = 210,704.85

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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.