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Finding the Fourth Proportional to 369,348.64, 509,670.51 and 208,243.30

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Solution

The fourth proportional to 369,348.64, 509,670.51 and 208,243.30 is: 287,358.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,348.64 : 509,670.51 = 208,243.30 : x
  2. Step 2: Convert to fraction form
    369,348.64/509,670.51 = 208,243.30/x
  3. Step 3: Cross multiply
    369,348.64x = 509,670.51 × 208,243.30
  4. Step 4: Simplify right side
    369,348.64x = 106,135,468,915.08
  5. Step 5: Solve for x
    x = 106,135,468,915.08/369,348.64
  6. Step 6: Final answer
    x = 287,358.49

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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.