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Finding the Fourth Proportional to 646,427.76, 969,641.88 and 309,389.08

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Solution

The fourth proportional to 646,427.76, 969,641.88 and 309,389.08 is: 464,083.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    646,427.76 : 969,641.88 = 309,389.08 : x
  2. Step 2: Convert to fraction form
    646,427.76/969,641.88 = 309,389.08/x
  3. Step 3: Cross multiply
    646,427.76x = 969,641.88 × 309,389.08
  4. Step 4: Simplify right side
    646,427.76x = 299,996,609,182.67
  5. Step 5: Solve for x
    x = 299,996,609,182.67/646,427.76
  6. Step 6: Final answer
    x = 464,083.73

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Similar ratio
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1.5x scale

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.