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Finding the Fourth Proportional to 304,407.99, 420,068.16 and 168,439.41

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Solution

The fourth proportional to 304,407.99, 420,068.16 and 168,439.41 is: 232,438.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,407.99 : 420,068.16 = 168,439.41 : x
  2. Step 2: Convert to fraction form
    304,407.99/420,068.16 = 168,439.41/x
  3. Step 3: Cross multiply
    304,407.99x = 420,068.16 × 168,439.41
  4. Step 4: Simplify right side
    304,407.99x = 70,756,033,030.19
  5. Step 5: Solve for x
    x = 70,756,033,030.19/304,407.99
  6. Step 6: Final answer
    x = 232,438.16

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.