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Finding the Fourth Proportional to 462,568.19, 637,990.66 and 398,145.32

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Solution

The fourth proportional to 462,568.19, 637,990.66 and 398,145.32 is: 549,136.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,568.19 : 637,990.66 = 398,145.32 : x
  2. Step 2: Convert to fraction form
    462,568.19/637,990.66 = 398,145.32/x
  3. Step 3: Cross multiply
    462,568.19x = 637,990.66 × 398,145.32
  4. Step 4: Simplify right side
    462,568.19x = 254,012,991,297.40
  5. Step 5: Solve for x
    x = 254,012,991,297.40/462,568.19
  6. Step 6: Final answer
    x = 549,136.32

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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.