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Finding the Fourth Proportional to 306,591,323.60, 459,886,985.40 and 288,451,470.80

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Solution

The fourth proportional to 306,591,323.60, 459,886,985.40 and 288,451,470.80 is: 432,677,206.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,591,323.60 : 459,886,985.40 = 288,451,470.80 : x
  2. Step 2: Convert to fraction form
    306,591,323.60/459,886,985.40 = 288,451,470.80/x
  3. Step 3: Cross multiply
    306,591,323.60x = 459,886,985.40 × 288,451,470.80
  4. Step 4: Simplify right side
    306,591,323.60x = 132,655,077,340,408,128
  5. Step 5: Solve for x
    x = 132,655,077,340,408,128/306,591,323.60
  6. Step 6: Final answer
    x = 432,677,206.20

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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.