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Finding the Fourth Proportional to 430,124.80, 645,187.20 and 114,630.40

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Solution

The fourth proportional to 430,124.80, 645,187.20 and 114,630.40 is: 171,945.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,124.80 : 645,187.20 = 114,630.40 : x
  2. Step 2: Convert to fraction form
    430,124.80/645,187.20 = 114,630.40/x
  3. Step 3: Cross multiply
    430,124.80x = 645,187.20 × 114,630.40
  4. Step 4: Simplify right side
    430,124.80x = 73,958,066,810.88
  5. Step 5: Solve for x
    x = 73,958,066,810.88/430,124.80
  6. Step 6: Final answer
    x = 171,945.60

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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.