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Finding the Fourth Proportional to 457,744.40, 685,234.20 and 402,448.40

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Solution

The fourth proportional to 457,744.40, 685,234.20 and 402,448.40 is: 602,457.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,744.40 : 685,234.20 = 402,448.40 : x
  2. Step 2: Convert to fraction form
    457,744.40/685,234.20 = 402,448.40/x
  3. Step 3: Cross multiply
    457,744.40x = 685,234.20 × 402,448.40
  4. Step 4: Simplify right side
    457,744.40x = 275,771,407,415.28
  5. Step 5: Solve for x
    x = 275,771,407,415.28/457,744.40
  6. Step 6: Final answer
    x = 602,457.20

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.