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Finding the Fourth Proportional to 686,598.95, 947,506.19 and 380,674.50

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Solution

The fourth proportional to 686,598.95, 947,506.19 and 380,674.50 is: 525,330.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    686,598.95 : 947,506.19 = 380,674.50 : x
  2. Step 2: Convert to fraction form
    686,598.95/947,506.19 = 380,674.50/x
  3. Step 3: Cross multiply
    686,598.95x = 947,506.19 × 380,674.50
  4. Step 4: Simplify right side
    686,598.95x = 360,691,443,221.78
  5. Step 5: Solve for x
    x = 360,691,443,221.78/686,598.95
  6. Step 6: Final answer
    x = 525,330.61

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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.