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Finding the Fourth Proportional to 431,995.28, 596,377.60 and 315,578.03

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Solution

The fourth proportional to 431,995.28, 596,377.60 and 315,578.03 is: 435,661.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,995.28 : 596,377.60 = 315,578.03 : x
  2. Step 2: Convert to fraction form
    431,995.28/596,377.60 = 315,578.03/x
  3. Step 3: Cross multiply
    431,995.28x = 596,377.60 × 315,578.03
  4. Step 4: Simplify right side
    431,995.28x = 188,203,666,075.07
  5. Step 5: Solve for x
    x = 188,203,666,075.07/431,995.28
  6. Step 6: Final answer
    x = 435,661.40

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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.