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Finding the Fourth Proportional to 471,880.04, 651,172 and 257,019.08

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Solution

The fourth proportional to 471,880.04, 651,172 and 257,019.08 is: 354,674.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,880.04 : 651,172 = 257,019.08 : x
  2. Step 2: Convert to fraction form
    471,880.04/651,172 = 257,019.08/x
  3. Step 3: Cross multiply
    471,880.04x = 651,172 × 257,019.08
  4. Step 4: Simplify right side
    471,880.04x = 167,363,628,361.76
  5. Step 5: Solve for x
    x = 167,363,628,361.76/471,880.04
  6. Step 6: Final answer
    x = 354,674.10

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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.