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Finding the Fourth Proportional to 427,875.08, 642,443.42 and 238,705

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Solution

The fourth proportional to 427,875.08, 642,443.42 and 238,705 is: 358,409.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,875.08 : 642,443.42 = 238,705 : x
  2. Step 2: Convert to fraction form
    427,875.08/642,443.42 = 238,705/x
  3. Step 3: Cross multiply
    427,875.08x = 642,443.42 × 238,705
  4. Step 4: Simplify right side
    427,875.08x = 153,354,456,571.10
  5. Step 5: Solve for x
    x = 153,354,456,571.10/427,875.08
  6. Step 6: Final answer
    x = 358,409.41

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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.