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Finding the Fourth Proportional to 430,871.84, 646,016.16 and 150,236

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Solution

The fourth proportional to 430,871.84, 646,016.16 and 150,236 is: 225,252.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,871.84 : 646,016.16 = 150,236 : x
  2. Step 2: Convert to fraction form
    430,871.84/646,016.16 = 150,236/x
  3. Step 3: Cross multiply
    430,871.84x = 646,016.16 × 150,236
  4. Step 4: Simplify right side
    430,871.84x = 97,054,883,813.76
  5. Step 5: Solve for x
    x = 97,054,883,813.76/430,871.84
  6. Step 6: Final answer
    x = 225,252.33

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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.