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Finding the Fourth Proportional to 510,066.34, 704,081.04 and 438,157.78

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Solution

The fourth proportional to 510,066.34, 704,081.04 and 438,157.78 is: 604,820.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,066.34 : 704,081.04 = 438,157.78 : x
  2. Step 2: Convert to fraction form
    510,066.34/704,081.04 = 438,157.78/x
  3. Step 3: Cross multiply
    510,066.34x = 704,081.04 × 438,157.78
  4. Step 4: Simplify right side
    510,066.34x = 308,498,585,426.49
  5. Step 5: Solve for x
    x = 308,498,585,426.49/510,066.34
  6. Step 6: Final answer
    x = 604,820.51

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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.