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Finding the Fourth Proportional to 271,830.70, 407,746.05 and 242,800.30

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Solution

The fourth proportional to 271,830.70, 407,746.05 and 242,800.30 is: 364,200.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,830.70 : 407,746.05 = 242,800.30 : x
  2. Step 2: Convert to fraction form
    271,830.70/407,746.05 = 242,800.30/x
  3. Step 3: Cross multiply
    271,830.70x = 407,746.05 × 242,800.30
  4. Step 4: Simplify right side
    271,830.70x = 99,000,863,263.82
  5. Step 5: Solve for x
    x = 99,000,863,263.82/271,830.70
  6. Step 6: Final answer
    x = 364,200.45

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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.