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Finding the Fourth Proportional to 725,875, 1,001,707.50 and 407,923

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Solution

The fourth proportional to 725,875, 1,001,707.50 and 407,923 is: 562,933.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    725,875 : 1,001,707.50 = 407,923 : x
  2. Step 2: Convert to fraction form
    725,875/1,001,707.50 = 407,923/x
  3. Step 3: Cross multiply
    725,875x = 1,001,707.50 × 407,923
  4. Step 4: Simplify right side
    725,875x = 408,619,528,522.50
  5. Step 5: Solve for x
    x = 408,619,528,522.50/725,875
  6. Step 6: Final answer
    x = 562,933.74

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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.