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Finding the Fourth Proportional to 686,720.50, 947,674.29 and 384,914.50

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Solution

The fourth proportional to 686,720.50, 947,674.29 and 384,914.50 is: 531,182.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    686,720.50 : 947,674.29 = 384,914.50 : x
  2. Step 2: Convert to fraction form
    686,720.50/947,674.29 = 384,914.50/x
  3. Step 3: Cross multiply
    686,720.50x = 947,674.29 × 384,914.50
  4. Step 4: Simplify right side
    686,720.50x = 364,773,575,498.21
  5. Step 5: Solve for x
    x = 364,773,575,498.21/686,720.50
  6. Step 6: Final answer
    x = 531,182.01

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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.