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Finding the Fourth Proportional to 703,985.84, 971,507.94 and 413,609.57

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Solution

The fourth proportional to 703,985.84, 971,507.94 and 413,609.57 is: 570,785.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    703,985.84 : 971,507.94 = 413,609.57 : x
  2. Step 2: Convert to fraction form
    703,985.84/971,507.94 = 413,609.57/x
  3. Step 3: Cross multiply
    703,985.84x = 971,507.94 × 413,609.57
  4. Step 4: Simplify right side
    703,985.84x = 401,824,981,314.99
  5. Step 5: Solve for x
    x = 401,824,981,314.99/703,985.84
  6. Step 6: Final answer
    x = 570,785.60

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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.