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Finding the Fourth Proportional to 288,735,315.60, 433,102,973.40 and 256,990,573.20

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Solution

The fourth proportional to 288,735,315.60, 433,102,973.40 and 256,990,573.20 is: 385,485,859.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,735,315.60 : 433,102,973.40 = 256,990,573.20 : x
  2. Step 2: Convert to fraction form
    288,735,315.60/433,102,973.40 = 256,990,573.20/x
  3. Step 3: Cross multiply
    288,735,315.60x = 433,102,973.40 × 256,990,573.20
  4. Step 4: Simplify right side
    288,735,315.60x = 111,303,381,388,690,336
  5. Step 5: Solve for x
    x = 111,303,381,388,690,336/288,735,315.60
  6. Step 6: Final answer
    x = 385,485,859.80

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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.