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Finding the Fourth Proportional to 686,218.34, 947,002.38 and 380,266.32

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Solution

The fourth proportional to 686,218.34, 947,002.38 and 380,266.32 is: 524,779.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    686,218.34 : 947,002.38 = 380,266.32 : x
  2. Step 2: Convert to fraction form
    686,218.34/947,002.38 = 380,266.32/x
  3. Step 3: Cross multiply
    686,218.34x = 947,002.38 × 380,266.32
  4. Step 4: Simplify right side
    686,218.34x = 360,113,110,073.84
  5. Step 5: Solve for x
    x = 360,113,110,073.84/686,218.34
  6. Step 6: Final answer
    x = 524,779.20

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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.