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Finding the Fourth Proportional to 374,681.70, 562,022.55 and 280,203.30

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Solution

The fourth proportional to 374,681.70, 562,022.55 and 280,203.30 is: 420,304.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,681.70 : 562,022.55 = 280,203.30 : x
  2. Step 2: Convert to fraction form
    374,681.70/562,022.55 = 280,203.30/x
  3. Step 3: Cross multiply
    374,681.70x = 562,022.55 × 280,203.30
  4. Step 4: Simplify right side
    374,681.70x = 157,480,573,184.42
  5. Step 5: Solve for x
    x = 157,480,573,184.42/374,681.70
  6. Step 6: Final answer
    x = 420,304.95

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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.