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Finding the Fourth Proportional to 513,804.60, 709,728 and 394,421.16

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Solution

The fourth proportional to 513,804.60, 709,728 and 394,421.16 is: 544,821.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,804.60 : 709,728 = 394,421.16 : x
  2. Step 2: Convert to fraction form
    513,804.60/709,728 = 394,421.16/x
  3. Step 3: Cross multiply
    513,804.60x = 709,728 × 394,421.16
  4. Step 4: Simplify right side
    513,804.60x = 279,931,741,044.48
  5. Step 5: Solve for x
    x = 279,931,741,044.48/513,804.60
  6. Step 6: Final answer
    x = 544,821.40

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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.