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Finding the Fourth Proportional to 686,698.97, 947,639.72 and 380,775.20

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Solution

The fourth proportional to 686,698.97, 947,639.72 and 380,775.20 is: 525,467.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    686,698.97 : 947,639.72 = 380,775.20 : x
  2. Step 2: Convert to fraction form
    686,698.97/947,639.72 = 380,775.20/x
  3. Step 3: Cross multiply
    686,698.97x = 947,639.72 × 380,775.20
  4. Step 4: Simplify right side
    686,698.97x = 360,837,700,124.68
  5. Step 5: Solve for x
    x = 360,837,700,124.68/686,698.97
  6. Step 6: Final answer
    x = 525,467.08

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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.