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Finding the Fourth Proportional to 407,080.07, 609,623.24 and 286,841.54

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Solution

The fourth proportional to 407,080.07, 609,623.24 and 286,841.54 is: 429,559.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,080.07 : 609,623.24 = 286,841.54 : x
  2. Step 2: Convert to fraction form
    407,080.07/609,623.24 = 286,841.54/x
  3. Step 3: Cross multiply
    407,080.07x = 609,623.24 × 286,841.54
  4. Step 4: Simplify right side
    407,080.07x = 174,865,268,981.39
  5. Step 5: Solve for x
    x = 174,865,268,981.39/407,080.07
  6. Step 6: Final answer
    x = 429,559.89

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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.