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Finding the Fourth Proportional to 208,486.40, 312,818.16 and 103,307.36

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Solution

The fourth proportional to 208,486.40, 312,818.16 and 103,307.36 is: 155,004.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,486.40 : 312,818.16 = 103,307.36 : x
  2. Step 2: Convert to fraction form
    208,486.40/312,818.16 = 103,307.36/x
  3. Step 3: Cross multiply
    208,486.40x = 312,818.16 × 103,307.36
  4. Step 4: Simplify right side
    208,486.40x = 32,316,418,269.66
  5. Step 5: Solve for x
    x = 32,316,418,269.66/208,486.40
  6. Step 6: Final answer
    x = 155,004.92

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.