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Finding the Fourth Proportional to 289,704.64, 434,726.46 and 121,210.84

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Solution

The fourth proportional to 289,704.64, 434,726.46 and 121,210.84 is: 181,887.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,704.64 : 434,726.46 = 121,210.84 : x
  2. Step 2: Convert to fraction form
    289,704.64/434,726.46 = 121,210.84/x
  3. Step 3: Cross multiply
    289,704.64x = 434,726.46 × 121,210.84
  4. Step 4: Simplify right side
    289,704.64x = 52,693,559,386.83
  5. Step 5: Solve for x
    x = 52,693,559,386.83/289,704.64
  6. Step 6: Final answer
    x = 181,887.18

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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.