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Finding the Fourth Proportional to 686,466.96, 947,429.26 and 438,216.15

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Solution

The fourth proportional to 686,466.96, 947,429.26 and 438,216.15 is: 604,805.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    686,466.96 : 947,429.26 = 438,216.15 : x
  2. Step 2: Convert to fraction form
    686,466.96/947,429.26 = 438,216.15/x
  3. Step 3: Cross multiply
    686,466.96x = 947,429.26 × 438,216.15
  4. Step 4: Simplify right side
    686,466.96x = 415,178,802,507.22
  5. Step 5: Solve for x
    x = 415,178,802,507.22/686,466.96
  6. Step 6: Final answer
    x = 604,805.22

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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.