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Finding the Fourth Proportional to 286,803.70, 430,205.55 and 174,829.30

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Solution

The fourth proportional to 286,803.70, 430,205.55 and 174,829.30 is: 262,243.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,803.70 : 430,205.55 = 174,829.30 : x
  2. Step 2: Convert to fraction form
    286,803.70/430,205.55 = 174,829.30/x
  3. Step 3: Cross multiply
    286,803.70x = 430,205.55 × 174,829.30
  4. Step 4: Simplify right side
    286,803.70x = 75,212,535,162.62
  5. Step 5: Solve for x
    x = 75,212,535,162.62/286,803.70
  6. Step 6: Final answer
    x = 262,243.95

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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.