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Finding the Fourth Proportional to 472,112.86, 651,507.32 and 257,254.78

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Solution

The fourth proportional to 472,112.86, 651,507.32 and 257,254.78 is: 355,007.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,112.86 : 651,507.32 = 257,254.78 : x
  2. Step 2: Convert to fraction form
    472,112.86/651,507.32 = 257,254.78/x
  3. Step 3: Cross multiply
    472,112.86x = 651,507.32 × 257,254.78
  4. Step 4: Simplify right side
    472,112.86x = 167,603,372,274.99
  5. Step 5: Solve for x
    x = 167,603,372,274.99/472,112.86
  6. Step 6: Final answer
    x = 355,007.00

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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.