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Finding the Fourth Proportional to 686,643.56, 947,579.51 and 380,732.84

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Solution

The fourth proportional to 686,643.56, 947,579.51 and 380,732.84 is: 525,417.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    686,643.56 : 947,579.51 = 380,732.84 : x
  2. Step 2: Convert to fraction form
    686,643.56/947,579.51 = 380,732.84/x
  3. Step 3: Cross multiply
    686,643.56x = 947,579.51 × 380,732.84
  4. Step 4: Simplify right side
    686,643.56x = 360,774,631,326.55
  5. Step 5: Solve for x
    x = 360,774,631,326.55/686,643.56
  6. Step 6: Final answer
    x = 525,417.63

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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.