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Finding the Fourth Proportional to 468,357,957.99, 646,334,741.79 and 256,631,144.01

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Solution

The fourth proportional to 468,357,957.99, 646,334,741.79 and 256,631,144.01 is: 354,151,395.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,357,957.99 : 646,334,741.79 = 256,631,144.01 : x
  2. Step 2: Convert to fraction form
    468,357,957.99/646,334,741.79 = 256,631,144.01/x
  3. Step 3: Cross multiply
    468,357,957.99x = 646,334,741.79 × 256,631,144.01
  4. Step 4: Simplify right side
    468,357,957.99x = 165,869,624,198,975,648
  5. Step 5: Solve for x
    x = 165,869,624,198,975,648/468,357,957.99
  6. Step 6: Final answer
    x = 354,151,395.04

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.