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Finding the Fourth Proportional to 419,313.40, 578,636.82 and 256,242.58

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Solution

The fourth proportional to 419,313.40, 578,636.82 and 256,242.58 is: 353,605.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,313.40 : 578,636.82 = 256,242.58 : x
  2. Step 2: Convert to fraction form
    419,313.40/578,636.82 = 256,242.58/x
  3. Step 3: Cross multiply
    419,313.40x = 578,636.82 × 256,242.58
  4. Step 4: Simplify right side
    419,313.40x = 148,271,391,639.80
  5. Step 5: Solve for x
    x = 148,271,391,639.80/419,313.40
  6. Step 6: Final answer
    x = 353,605.18

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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.