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Finding the Fourth Proportional to 716,698.91, 989,044.64 and 394,409

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Solution

The fourth proportional to 716,698.91, 989,044.64 and 394,409 is: 544,284.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    716,698.91 : 989,044.64 = 394,409 : x
  2. Step 2: Convert to fraction form
    716,698.91/989,044.64 = 394,409/x
  3. Step 3: Cross multiply
    716,698.91x = 989,044.64 × 394,409
  4. Step 4: Simplify right side
    716,698.91x = 390,088,107,417.76
  5. Step 5: Solve for x
    x = 390,088,107,417.76/716,698.91
  6. Step 6: Final answer
    x = 544,284.50

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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.