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Finding the Fourth Proportional to 631,644, 871,066.32 and 413,527.20

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Solution

The fourth proportional to 631,644, 871,066.32 and 413,527.20 is: 570,273.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    631,644 : 871,066.32 = 413,527.20 : x
  2. Step 2: Convert to fraction form
    631,644/871,066.32 = 413,527.20/x
  3. Step 3: Cross multiply
    631,644x = 871,066.32 × 413,527.20
  4. Step 4: Simplify right side
    631,644x = 360,209,616,323.90
  5. Step 5: Solve for x
    x = 360,209,616,323.90/631,644
  6. Step 6: Final answer
    x = 570,273.15

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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.