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Finding the Fourth Proportional to 284,054.95, 426,009.05 and 84,330.14

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Solution

The fourth proportional to 284,054.95, 426,009.05 and 84,330.14 is: 126,473.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,054.95 : 426,009.05 = 84,330.14 : x
  2. Step 2: Convert to fraction form
    284,054.95/426,009.05 = 84,330.14/x
  3. Step 3: Cross multiply
    284,054.95x = 426,009.05 × 84,330.14
  4. Step 4: Simplify right side
    284,054.95x = 35,925,402,406.12
  5. Step 5: Solve for x
    x = 35,925,402,406.12/284,054.95
  6. Step 6: Final answer
    x = 126,473.43

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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.