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Finding the Fourth Proportional to 433,103,390.40, 649,655,085.60 and 385,486,276.80

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Solution

The fourth proportional to 433,103,390.40, 649,655,085.60 and 385,486,276.80 is: 578,229,415.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,103,390.40 : 649,655,085.60 = 385,486,276.80 : x
  2. Step 2: Convert to fraction form
    433,103,390.40/649,655,085.60 = 385,486,276.80/x
  3. Step 3: Cross multiply
    433,103,390.40x = 649,655,085.60 × 385,486,276.80
  4. Step 4: Simplify right side
    433,103,390.40x = 250,433,120,152,129,312
  5. Step 5: Solve for x
    x = 250,433,120,152,129,312/433,103,390.40
  6. Step 6: Final answer
    x = 578,229,415.20

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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.