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Finding the Fourth Proportional to 510,138.96, 704,181.36 and 438,230.40

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Solution

The fourth proportional to 510,138.96, 704,181.36 and 438,230.40 is: 604,920.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,138.96 : 704,181.36 = 438,230.40 : x
  2. Step 2: Convert to fraction form
    510,138.96/704,181.36 = 438,230.40/x
  3. Step 3: Cross multiply
    510,138.96x = 704,181.36 × 438,230.40
  4. Step 4: Simplify right side
    510,138.96x = 308,593,679,065.34
  5. Step 5: Solve for x
    x = 308,593,679,065.34/510,138.96
  6. Step 6: Final answer
    x = 604,920.82

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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.