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Finding the Fourth Proportional to 430,374, 645,664.68 and 134,886

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Solution

The fourth proportional to 430,374, 645,664.68 and 134,886 is: 202,361.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,374 : 645,664.68 = 134,886 : x
  2. Step 2: Convert to fraction form
    430,374/645,664.68 = 134,886/x
  3. Step 3: Cross multiply
    430,374x = 645,664.68 × 134,886
  4. Step 4: Simplify right side
    430,374x = 87,091,126,026.48
  5. Step 5: Solve for x
    x = 87,091,126,026.48/430,374
  6. Step 6: Final answer
    x = 202,361.49

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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.