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Finding the Fourth Proportional to 430,853.21, 645,877.88 and 146,349.12

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Solution

The fourth proportional to 430,853.21, 645,877.88 and 146,349.12 is: 219,387.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,853.21 : 645,877.88 = 146,349.12 : x
  2. Step 2: Convert to fraction form
    430,853.21/645,877.88 = 146,349.12/x
  3. Step 3: Cross multiply
    430,853.21x = 645,877.88 × 146,349.12
  4. Step 4: Simplify right side
    430,853.21x = 94,523,659,365.47
  5. Step 5: Solve for x
    x = 94,523,659,365.47/430,853.21
  6. Step 6: Final answer
    x = 219,387.15

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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.