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Finding the Fourth Proportional to 430,871.76, 646,602.84 and 150,388.92

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Solution

The fourth proportional to 430,871.76, 646,602.84 and 150,388.92 is: 225,686.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,871.76 : 646,602.84 = 150,388.92 : x
  2. Step 2: Convert to fraction form
    430,871.76/646,602.84 = 150,388.92/x
  3. Step 3: Cross multiply
    430,871.76x = 646,602.84 × 150,388.92
  4. Step 4: Simplify right side
    430,871.76x = 97,241,902,776.53
  5. Step 5: Solve for x
    x = 97,241,902,776.53/430,871.76
  6. Step 6: Final answer
    x = 225,686.41

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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.