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Finding the Fourth Proportional to 413,400, 570,457.08 and 250,117.34

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Solution

The fourth proportional to 413,400, 570,457.08 and 250,117.34 is: 345,140.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,400 : 570,457.08 = 250,117.34 : x
  2. Step 2: Convert to fraction form
    413,400/570,457.08 = 250,117.34/x
  3. Step 3: Cross multiply
    413,400x = 570,457.08 × 250,117.34
  4. Step 4: Simplify right side
    413,400x = 142,681,207,433.77
  5. Step 5: Solve for x
    x = 142,681,207,433.77/413,400
  6. Step 6: Final answer
    x = 345,140.80

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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.