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Finding the Fourth Proportional to 686,640.47, 947,661.91 and 380,784.88

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Solution

The fourth proportional to 686,640.47, 947,661.91 and 380,784.88 is: 525,537.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    686,640.47 : 947,661.91 = 380,784.88 : x
  2. Step 2: Convert to fraction form
    686,640.47/947,661.91 = 380,784.88/x
  3. Step 3: Cross multiply
    686,640.47x = 947,661.91 × 380,784.88
  4. Step 4: Simplify right side
    686,640.47x = 360,855,323,358.80
  5. Step 5: Solve for x
    x = 360,855,323,358.80/686,640.47
  6. Step 6: Final answer
    x = 525,537.51

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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.