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Finding the Fourth Proportional to 510,463.47, 704,427.15 and 281,018.91

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Solution

The fourth proportional to 510,463.47, 704,427.15 and 281,018.91 is: 387,799.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,463.47 : 704,427.15 = 281,018.91 : x
  2. Step 2: Convert to fraction form
    510,463.47/704,427.15 = 281,018.91/x
  3. Step 3: Cross multiply
    510,463.47x = 704,427.15 × 281,018.91
  4. Step 4: Simplify right side
    510,463.47x = 197,957,349,867.41
  5. Step 5: Solve for x
    x = 197,957,349,867.41/510,463.47
  6. Step 6: Final answer
    x = 387,799.25

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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.