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Finding the Fourth Proportional to 286,759.61, 430,065.60 and 118,327.80

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Solution

The fourth proportional to 286,759.61, 430,065.60 and 118,327.80 is: 177,461.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,759.61 : 430,065.60 = 118,327.80 : x
  2. Step 2: Convert to fraction form
    286,759.61/430,065.60 = 118,327.80/x
  3. Step 3: Cross multiply
    286,759.61x = 430,065.60 × 118,327.80
  4. Step 4: Simplify right side
    286,759.61x = 50,888,716,303.68
  5. Step 5: Solve for x
    x = 50,888,716,303.68/286,759.61
  6. Step 6: Final answer
    x = 177,461.24

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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.