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Finding the Fourth Proportional to 686,495.64, 947,276.28 and 380,569.14

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Solution

The fourth proportional to 686,495.64, 947,276.28 and 380,569.14 is: 525,136.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    686,495.64 : 947,276.28 = 380,569.14 : x
  2. Step 2: Convert to fraction form
    686,495.64/947,276.28 = 380,569.14/x
  3. Step 3: Cross multiply
    686,495.64x = 947,276.28 × 380,569.14
  4. Step 4: Simplify right side
    686,495.64x = 360,504,119,222.00
  5. Step 5: Solve for x
    x = 360,504,119,222.00/686,495.64
  6. Step 6: Final answer
    x = 525,136.79

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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.