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Finding the Fourth Proportional to 736,861, 1,016,868.18 and 418,909

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Solution

The fourth proportional to 736,861, 1,016,868.18 and 418,909 is: 578,094.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    736,861 : 1,016,868.18 = 418,909 : x
  2. Step 2: Convert to fraction form
    736,861/1,016,868.18 = 418,909/x
  3. Step 3: Cross multiply
    736,861x = 1,016,868.18 × 418,909
  4. Step 4: Simplify right side
    736,861x = 425,975,232,415.62
  5. Step 5: Solve for x
    x = 425,975,232,415.62/736,861
  6. Step 6: Final answer
    x = 578,094.42

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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.