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Finding the Fourth Proportional to 686,332.54, 947,114.44 and 380,437.52

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Solution

The fourth proportional to 686,332.54, 947,114.44 and 380,437.52 is: 524,990.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    686,332.54 : 947,114.44 = 380,437.52 : x
  2. Step 2: Convert to fraction form
    686,332.54/947,114.44 = 380,437.52/x
  3. Step 3: Cross multiply
    686,332.54x = 947,114.44 × 380,437.52
  4. Step 4: Simplify right side
    686,332.54x = 360,317,868,709.79
  5. Step 5: Solve for x
    x = 360,317,868,709.79/686,332.54
  6. Step 6: Final answer
    x = 524,990.22

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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.