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Finding the Fourth Proportional to 457,400.50, 631,212.69 and 278,552.50

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Solution

The fourth proportional to 457,400.50, 631,212.69 and 278,552.50 is: 384,402.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,400.50 : 631,212.69 = 278,552.50 : x
  2. Step 2: Convert to fraction form
    457,400.50/631,212.69 = 278,552.50/x
  3. Step 3: Cross multiply
    457,400.50x = 631,212.69 × 278,552.50
  4. Step 4: Simplify right side
    457,400.50x = 175,825,872,831.23
  5. Step 5: Solve for x
    x = 175,825,872,831.23/457,400.50
  6. Step 6: Final answer
    x = 384,402.45

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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.