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Finding the Fourth Proportional to 430,870.66, 646,601.28 and 150,387.92

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Solution

The fourth proportional to 430,870.66, 646,601.28 and 150,387.92 is: 225,684.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,870.66 : 646,601.28 = 150,387.92 : x
  2. Step 2: Convert to fraction form
    430,870.66/646,601.28 = 150,387.92/x
  3. Step 3: Cross multiply
    430,870.66x = 646,601.28 × 150,387.92
  4. Step 4: Simplify right side
    430,870.66x = 97,241,021,568.54
  5. Step 5: Solve for x
    x = 97,241,021,568.54/430,870.66
  6. Step 6: Final answer
    x = 225,684.95

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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.