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Finding the Fourth Proportional to 288,735,269.60, 433,102,904.40 and 256,990,527.20

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Solution

The fourth proportional to 288,735,269.60, 433,102,904.40 and 256,990,527.20 is: 385,485,790.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,735,269.60 : 433,102,904.40 = 256,990,527.20 : x
  2. Step 2: Convert to fraction form
    288,735,269.60/433,102,904.40 = 256,990,527.20/x
  3. Step 3: Cross multiply
    288,735,269.60x = 433,102,904.40 × 256,990,527.20
  4. Step 4: Simplify right side
    288,735,269.60x = 111,303,343,733,607,184
  5. Step 5: Solve for x
    x = 111,303,343,733,607,184/288,735,269.60
  6. Step 6: Final answer
    x = 385,485,790.80

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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.