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Finding the Fourth Proportional to 430,392, 645,691.68 and 134,904

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Solution

The fourth proportional to 430,392, 645,691.68 and 134,904 is: 202,388.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,392 : 645,691.68 = 134,904 : x
  2. Step 2: Convert to fraction form
    430,392/645,691.68 = 134,904/x
  3. Step 3: Cross multiply
    430,392x = 645,691.68 × 134,904
  4. Step 4: Simplify right side
    430,392x = 87,106,390,398.72
  5. Step 5: Solve for x
    x = 87,106,390,398.72/430,392
  6. Step 6: Final answer
    x = 202,388.50

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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.