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Finding the Fourth Proportional to 328,901.40, 493,368.30 and 171,437.40

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Solution

The fourth proportional to 328,901.40, 493,368.30 and 171,437.40 is: 257,164.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,901.40 : 493,368.30 = 171,437.40 : x
  2. Step 2: Convert to fraction form
    328,901.40/493,368.30 = 171,437.40/x
  3. Step 3: Cross multiply
    328,901.40x = 493,368.30 × 171,437.40
  4. Step 4: Simplify right side
    328,901.40x = 84,581,778,594.42
  5. Step 5: Solve for x
    x = 84,581,778,594.42/328,901.40
  6. Step 6: Final answer
    x = 257,164.54

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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.