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Finding the Fourth Proportional to 510,913.95, 705,008.32 and 314,649.38

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Solution

The fourth proportional to 510,913.95, 705,008.32 and 314,649.38 is: 434,183.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,913.95 : 705,008.32 = 314,649.38 : x
  2. Step 2: Convert to fraction form
    510,913.95/705,008.32 = 314,649.38/x
  3. Step 3: Cross multiply
    510,913.95x = 705,008.32 × 314,649.38
  4. Step 4: Simplify right side
    510,913.95x = 221,830,425,684.55
  5. Step 5: Solve for x
    x = 221,830,425,684.55/510,913.95
  6. Step 6: Final answer
    x = 434,183.54

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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.