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Finding the Fourth Proportional to 286,826.80, 430,094.40 and 168,534.40

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Solution

The fourth proportional to 286,826.80, 430,094.40 and 168,534.40 is: 252,715.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,826.80 : 430,094.40 = 168,534.40 : x
  2. Step 2: Convert to fraction form
    286,826.80/430,094.40 = 168,534.40/x
  3. Step 3: Cross multiply
    286,826.80x = 430,094.40 × 168,534.40
  4. Step 4: Simplify right side
    286,826.80x = 72,485,701,647.36
  5. Step 5: Solve for x
    x = 72,485,701,647.36/286,826.80
  6. Step 6: Final answer
    x = 252,715.93

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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.