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Finding the Fourth Proportional to 306,465,359.60, 459,698,039.40 and 203,896,809.20

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Solution

The fourth proportional to 306,465,359.60, 459,698,039.40 and 203,896,809.20 is: 305,845,213.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,465,359.60 : 459,698,039.40 = 203,896,809.20 : x
  2. Step 2: Convert to fraction form
    306,465,359.60/459,698,039.40 = 203,896,809.20/x
  3. Step 3: Cross multiply
    306,465,359.60x = 459,698,039.40 × 203,896,809.20
  4. Step 4: Simplify right side
    306,465,359.60x = 93,730,963,429,155,872
  5. Step 5: Solve for x
    x = 93,730,963,429,155,872/306,465,359.60
  6. Step 6: Final answer
    x = 305,845,213.80

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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.