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Finding the Fourth Proportional to 316,795, 437,534.32 and 209,836.12

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Solution

The fourth proportional to 316,795, 437,534.32 and 209,836.12 is: 289,810.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,795 : 437,534.32 = 209,836.12 : x
  2. Step 2: Convert to fraction form
    316,795/437,534.32 = 209,836.12/x
  3. Step 3: Cross multiply
    316,795x = 437,534.32 × 209,836.12
  4. Step 4: Simplify right side
    316,795x = 91,810,504,075.64
  5. Step 5: Solve for x
    x = 91,810,504,075.64/316,795
  6. Step 6: Final answer
    x = 289,810.46

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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.