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Finding the Fourth Proportional to 686,523.42, 947,314.58 and 380,596.95

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Solution

The fourth proportional to 686,523.42, 947,314.58 and 380,596.95 is: 525,175.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    686,523.42 : 947,314.58 = 380,596.95 : x
  2. Step 2: Convert to fraction form
    686,523.42/947,314.58 = 380,596.95/x
  3. Step 3: Cross multiply
    686,523.42x = 947,314.58 × 380,596.95
  4. Step 4: Simplify right side
    686,523.42x = 360,545,037,935.55
  5. Step 5: Solve for x
    x = 360,545,037,935.55/686,523.42
  6. Step 6: Final answer
    x = 525,175.15

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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.