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Finding the Fourth Proportional to 675,174, 931,702.40 and 369,189.60

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Solution

The fourth proportional to 675,174, 931,702.40 and 369,189.60 is: 509,461.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    675,174 : 931,702.40 = 369,189.60 : x
  2. Step 2: Convert to fraction form
    675,174/931,702.40 = 369,189.60/x
  3. Step 3: Cross multiply
    675,174x = 931,702.40 × 369,189.60
  4. Step 4: Simplify right side
    675,174x = 343,974,836,375.04
  5. Step 5: Solve for x
    x = 343,974,836,375.04/675,174
  6. Step 6: Final answer
    x = 509,461.02

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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.