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Finding the Fourth Proportional to 642,905.40, 964,358.10 and 169,638.60

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Solution

The fourth proportional to 642,905.40, 964,358.10 and 169,638.60 is: 254,457.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    642,905.40 : 964,358.10 = 169,638.60 : x
  2. Step 2: Convert to fraction form
    642,905.40/964,358.10 = 169,638.60/x
  3. Step 3: Cross multiply
    642,905.40x = 964,358.10 × 169,638.60
  4. Step 4: Simplify right side
    642,905.40x = 163,592,357,982.66
  5. Step 5: Solve for x
    x = 163,592,357,982.66/642,905.40
  6. Step 6: Final answer
    x = 254,457.90

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1.5x scale

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.