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Finding the Fourth Proportional to 407,079.07, 609,621.74 and 286,840.54

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Solution

The fourth proportional to 407,079.07, 609,621.74 and 286,840.54 is: 429,558.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,079.07 : 609,621.74 = 286,840.54 : x
  2. Step 2: Convert to fraction form
    407,079.07/609,621.74 = 286,840.54/x
  3. Step 3: Cross multiply
    407,079.07x = 609,621.74 × 286,840.54
  4. Step 4: Simplify right side
    407,079.07x = 174,864,231,114.29
  5. Step 5: Solve for x
    x = 174,864,231,114.29/407,079.07
  6. Step 6: Final answer
    x = 429,558.40

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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.