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Finding the Fourth Proportional to 285,492.20, 428,114.46 and 152,343.32

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Solution

The fourth proportional to 285,492.20, 428,114.46 and 152,343.32 is: 228,448.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,492.20 : 428,114.46 = 152,343.32 : x
  2. Step 2: Convert to fraction form
    285,492.20/428,114.46 = 152,343.32/x
  3. Step 3: Cross multiply
    285,492.20x = 428,114.46 × 152,343.32
  4. Step 4: Simplify right side
    285,492.20x = 65,220,378,176.41
  5. Step 5: Solve for x
    x = 65,220,378,176.41/285,492.20
  6. Step 6: Final answer
    x = 228,448.90

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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.