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Finding the Fourth Proportional to 380,307.12, 524,803 and 208,191.80

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Solution

The fourth proportional to 380,307.12, 524,803 and 208,191.80 is: 287,293.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,307.12 : 524,803 = 208,191.80 : x
  2. Step 2: Convert to fraction form
    380,307.12/524,803 = 208,191.80/x
  3. Step 3: Cross multiply
    380,307.12x = 524,803 × 208,191.80
  4. Step 4: Simplify right side
    380,307.12x = 109,259,681,215.40
  5. Step 5: Solve for x
    x = 109,259,681,215.40/380,307.12
  6. Step 6: Final answer
    x = 287,293.28

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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.