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Finding the Fourth Proportional to 286,492.40, 429,738.60 and 146,524.40

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Solution

The fourth proportional to 286,492.40, 429,738.60 and 146,524.40 is: 219,786.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,492.40 : 429,738.60 = 146,524.40 : x
  2. Step 2: Convert to fraction form
    286,492.40/429,738.60 = 146,524.40/x
  3. Step 3: Cross multiply
    286,492.40x = 429,738.60 × 146,524.40
  4. Step 4: Simplify right side
    286,492.40x = 62,967,190,521.84
  5. Step 5: Solve for x
    x = 62,967,190,521.84/286,492.40
  6. Step 6: Final answer
    x = 219,786.60

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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.