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Finding the Fourth Proportional to 288,268.54, 432,482.08 and 138,634

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Solution

The fourth proportional to 288,268.54, 432,482.08 and 138,634 is: 207,989.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,268.54 : 432,482.08 = 138,634 : x
  2. Step 2: Convert to fraction form
    288,268.54/432,482.08 = 138,634/x
  3. Step 3: Cross multiply
    288,268.54x = 432,482.08 × 138,634
  4. Step 4: Simplify right side
    288,268.54x = 59,956,720,678.72
  5. Step 5: Solve for x
    x = 59,956,720,678.72/288,268.54
  6. Step 6: Final answer
    x = 207,989.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.