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Finding the Fourth Proportional to 686,314.09, 947,120.45 and 380,397.21

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Solution

The fourth proportional to 686,314.09, 947,120.45 and 380,397.21 is: 524,952.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    686,314.09 : 947,120.45 = 380,397.21 : x
  2. Step 2: Convert to fraction form
    686,314.09/947,120.45 = 380,397.21/x
  3. Step 3: Cross multiply
    686,314.09x = 947,120.45 × 380,397.21
  4. Step 4: Simplify right side
    686,314.09x = 360,281,976,587.81
  5. Step 5: Solve for x
    x = 360,281,976,587.81/686,314.09
  6. Step 6: Final answer
    x = 524,952.03

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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.