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Finding the Fourth Proportional to 472,465.87, 709,030.90 and 427,293.38

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Solution

The fourth proportional to 472,465.87, 709,030.90 and 427,293.38 is: 641,240.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,465.87 : 709,030.90 = 427,293.38 : x
  2. Step 2: Convert to fraction form
    472,465.87/709,030.90 = 427,293.38/x
  3. Step 3: Cross multiply
    472,465.87x = 709,030.90 × 427,293.38
  4. Step 4: Simplify right side
    472,465.87x = 302,964,210,489.79
  5. Step 5: Solve for x
    x = 302,964,210,489.79/472,465.87
  6. Step 6: Final answer
    x = 641,240.42

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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.