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Finding the Fourth Proportional to 472,178.77, 651,606.81 and 257,318.89

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Solution

The fourth proportional to 472,178.77, 651,606.81 and 257,318.89 is: 355,100.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,178.77 : 651,606.81 = 257,318.89 : x
  2. Step 2: Convert to fraction form
    472,178.77/651,606.81 = 257,318.89/x
  3. Step 3: Cross multiply
    472,178.77x = 651,606.81 × 257,318.89
  4. Step 4: Simplify right side
    472,178.77x = 167,670,741,065.64
  5. Step 5: Solve for x
    x = 167,670,741,065.64/472,178.77
  6. Step 6: Final answer
    x = 355,100.13

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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.