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Finding the Fourth Proportional to 354,521.28, 531,417.12 and 154,804.32

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Solution

The fourth proportional to 354,521.28, 531,417.12 and 154,804.32 is: 232,047.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,521.28 : 531,417.12 = 154,804.32 : x
  2. Step 2: Convert to fraction form
    354,521.28/531,417.12 = 154,804.32/x
  3. Step 3: Cross multiply
    354,521.28x = 531,417.12 × 154,804.32
  4. Step 4: Simplify right side
    354,521.28x = 82,265,665,897.96
  5. Step 5: Solve for x
    x = 82,265,665,897.96/354,521.28
  6. Step 6: Final answer
    x = 232,047.19

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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.