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Finding the Fourth Proportional to 281,415.81, 388,354.45 and 152,355.64

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Solution

The fourth proportional to 281,415.81, 388,354.45 and 152,355.64 is: 210,251.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,415.81 : 388,354.45 = 152,355.64 : x
  2. Step 2: Convert to fraction form
    281,415.81/388,354.45 = 152,355.64/x
  3. Step 3: Cross multiply
    281,415.81x = 388,354.45 × 152,355.64
  4. Step 4: Simplify right side
    281,415.81x = 59,167,990,985.71
  5. Step 5: Solve for x
    x = 59,167,990,985.71/281,415.81
  6. Step 6: Final answer
    x = 210,251.13

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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.