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Finding the Fourth Proportional to 288,685,728.60, 433,028,592.90 and 173,611,037.40

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Solution

The fourth proportional to 288,685,728.60, 433,028,592.90 and 173,611,037.40 is: 260,416,556.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,685,728.60 : 433,028,592.90 = 173,611,037.40 : x
  2. Step 2: Convert to fraction form
    288,685,728.60/433,028,592.90 = 173,611,037.40/x
  3. Step 3: Cross multiply
    288,685,728.60x = 433,028,592.90 × 173,611,037.40
  4. Step 4: Simplify right side
    288,685,728.60x = 75,178,543,237,231,280
  5. Step 5: Solve for x
    x = 75,178,543,237,231,280/288,685,728.60
  6. Step 6: Final answer
    x = 260,416,556.10

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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.