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Finding the Fourth Proportional to 502,085, 692,938.74 and 290,117

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Solution

The fourth proportional to 502,085, 692,938.74 and 290,117 is: 400,396.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,085 : 692,938.74 = 290,117 : x
  2. Step 2: Convert to fraction form
    502,085/692,938.74 = 290,117/x
  3. Step 3: Cross multiply
    502,085x = 692,938.74 × 290,117
  4. Step 4: Simplify right side
    502,085x = 201,033,308,432.58
  5. Step 5: Solve for x
    x = 201,033,308,432.58/502,085
  6. Step 6: Final answer
    x = 400,396.96

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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.