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Finding the Fourth Proportional to 510,783.93, 704,913.66 and 281,341.17

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Solution

The fourth proportional to 510,783.93, 704,913.66 and 281,341.17 is: 388,268.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,783.93 : 704,913.66 = 281,341.17 : x
  2. Step 2: Convert to fraction form
    510,783.93/704,913.66 = 281,341.17/x
  3. Step 3: Cross multiply
    510,783.93x = 704,913.66 × 281,341.17
  4. Step 4: Simplify right side
    510,783.93x = 198,321,233,853.38
  5. Step 5: Solve for x
    x = 198,321,233,853.38/510,783.93
  6. Step 6: Final answer
    x = 388,268.35

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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.