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Finding the Fourth Proportional to 510,643.81, 704,690.46 and 306,698.20

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Solution

The fourth proportional to 510,643.81, 704,690.46 and 306,698.20 is: 423,244.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,643.81 : 704,690.46 = 306,698.20 : x
  2. Step 2: Convert to fraction form
    510,643.81/704,690.46 = 306,698.20/x
  3. Step 3: Cross multiply
    510,643.81x = 704,690.46 × 306,698.20
  4. Step 4: Simplify right side
    510,643.81x = 216,127,293,877.45
  5. Step 5: Solve for x
    x = 216,127,293,877.45/510,643.81
  6. Step 6: Final answer
    x = 423,244.71

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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.