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Finding the Fourth Proportional to 328,424.40, 492,053.40 and 307,429.20

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Solution

The fourth proportional to 328,424.40, 492,053.40 and 307,429.20 is: 460,597.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,424.40 : 492,053.40 = 307,429.20 : x
  2. Step 2: Convert to fraction form
    328,424.40/492,053.40 = 307,429.20/x
  3. Step 3: Cross multiply
    328,424.40x = 492,053.40 × 307,429.20
  4. Step 4: Simplify right side
    328,424.40x = 151,271,583,119.28
  5. Step 5: Solve for x
    x = 151,271,583,119.28/328,424.40
  6. Step 6: Final answer
    x = 460,597.88

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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.