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Finding the Fourth Proportional to 427,802.47, 642,334.52 and 238,632.44

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Solution

The fourth proportional to 427,802.47, 642,334.52 and 238,632.44 is: 358,300.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,802.47 : 642,334.52 = 238,632.44 : x
  2. Step 2: Convert to fraction form
    427,802.47/642,334.52 = 238,632.44/x
  3. Step 3: Cross multiply
    427,802.47x = 642,334.52 × 238,632.44
  4. Step 4: Simplify right side
    427,802.47x = 153,281,851,188.74
  5. Step 5: Solve for x
    x = 153,281,851,188.74/427,802.47
  6. Step 6: Final answer
    x = 358,300.53

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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.