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Finding the Fourth Proportional to 456,427.70, 683,329.35 and 403,939.70

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Solution

The fourth proportional to 456,427.70, 683,329.35 and 403,939.70 is: 604,748.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,427.70 : 683,329.35 = 403,939.70 : x
  2. Step 2: Convert to fraction form
    456,427.70/683,329.35 = 403,939.70/x
  3. Step 3: Cross multiply
    456,427.70x = 683,329.35 × 403,939.70
  4. Step 4: Simplify right side
    456,427.70x = 276,023,852,640.20
  5. Step 5: Solve for x
    x = 276,023,852,640.20/456,427.70
  6. Step 6: Final answer
    x = 604,748.25

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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.