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Finding the Fourth Proportional to 477,029.40, 715,544.10 and 290,405.40

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Solution

The fourth proportional to 477,029.40, 715,544.10 and 290,405.40 is: 435,608.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,029.40 : 715,544.10 = 290,405.40 : x
  2. Step 2: Convert to fraction form
    477,029.40/715,544.10 = 290,405.40/x
  3. Step 3: Cross multiply
    477,029.40x = 715,544.10 × 290,405.40
  4. Step 4: Simplify right side
    477,029.40x = 207,797,870,578.14
  5. Step 5: Solve for x
    x = 207,797,870,578.14/477,029.40
  6. Step 6: Final answer
    x = 435,608.10

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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.