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Finding the Fourth Proportional to 374,802.40, 562,009.20 and 138,023.20

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Solution

The fourth proportional to 374,802.40, 562,009.20 and 138,023.20 is: 206,963.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,802.40 : 562,009.20 = 138,023.20 : x
  2. Step 2: Convert to fraction form
    374,802.40/562,009.20 = 138,023.20/x
  3. Step 3: Cross multiply
    374,802.40x = 562,009.20 × 138,023.20
  4. Step 4: Simplify right side
    374,802.40x = 77,570,308,213.44
  5. Step 5: Solve for x
    x = 77,570,308,213.44/374,802.40
  6. Step 6: Final answer
    x = 206,963.21

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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.