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Finding the Fourth Proportional to 359,075.16, 495,549.09 and 206,138.25

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Solution

The fourth proportional to 359,075.16, 495,549.09 and 206,138.25 is: 284,485.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,075.16 : 495,549.09 = 206,138.25 : x
  2. Step 2: Convert to fraction form
    359,075.16/495,549.09 = 206,138.25/x
  3. Step 3: Cross multiply
    359,075.16x = 495,549.09 × 206,138.25
  4. Step 4: Simplify right side
    359,075.16x = 102,151,622,201.69
  5. Step 5: Solve for x
    x = 102,151,622,201.69/359,075.16
  6. Step 6: Final answer
    x = 284,485.35

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1.5x scale

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.