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Finding the Fourth Proportional to 672,102.76, 927,957.54 and 470,548.84

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Solution

The fourth proportional to 672,102.76, 927,957.54 and 470,548.84 is: 649,676.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    672,102.76 : 927,957.54 = 470,548.84 : x
  2. Step 2: Convert to fraction form
    672,102.76/927,957.54 = 470,548.84/x
  3. Step 3: Cross multiply
    672,102.76x = 927,957.54 × 470,548.84
  4. Step 4: Simplify right side
    672,102.76x = 436,649,344,016.25
  5. Step 5: Solve for x
    x = 436,649,344,016.25/672,102.76
  6. Step 6: Final answer
    x = 649,676.46

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.