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Finding the Fourth Proportional to 427,802.36, 642,334.36 and 238,632.32

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Solution

The fourth proportional to 427,802.36, 642,334.36 and 238,632.32 is: 358,300.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,802.36 : 642,334.36 = 238,632.32 : x
  2. Step 2: Convert to fraction form
    427,802.36/642,334.36 = 238,632.32/x
  3. Step 3: Cross multiply
    427,802.36x = 642,334.36 × 238,632.32
  4. Step 4: Simplify right side
    427,802.36x = 153,281,738,542.52
  5. Step 5: Solve for x
    x = 153,281,738,542.52/427,802.36
  6. Step 6: Final answer
    x = 358,300.36

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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.