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Finding the Fourth Proportional to 405,506.28, 560,224.74 and 310,397.16

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Solution

The fourth proportional to 405,506.28, 560,224.74 and 310,397.16 is: 428,827.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,506.28 : 560,224.74 = 310,397.16 : x
  2. Step 2: Convert to fraction form
    405,506.28/560,224.74 = 310,397.16/x
  3. Step 3: Cross multiply
    405,506.28x = 560,224.74 × 310,397.16
  4. Step 4: Simplify right side
    405,506.28x = 173,892,168,257.74
  5. Step 5: Solve for x
    x = 173,892,168,257.74/405,506.28
  6. Step 6: Final answer
    x = 428,827.31

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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.