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Finding the Fourth Proportional to 432,401.60, 648,256.80 and 182,878.40

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Solution

The fourth proportional to 432,401.60, 648,256.80 and 182,878.40 is: 274,171.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,401.60 : 648,256.80 = 182,878.40 : x
  2. Step 2: Convert to fraction form
    432,401.60/648,256.80 = 182,878.40/x
  3. Step 3: Cross multiply
    432,401.60x = 648,256.80 × 182,878.40
  4. Step 4: Simplify right side
    432,401.60x = 118,552,166,373.12
  5. Step 5: Solve for x
    x = 118,552,166,373.12/432,401.60
  6. Step 6: Final answer
    x = 274,171.43

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1.5x scale

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.