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Finding the Fourth Proportional to 427,332.65, 640,762.31 and 174,790.46

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Solution

The fourth proportional to 427,332.65, 640,762.31 and 174,790.46 is: 262,088.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,332.65 : 640,762.31 = 174,790.46 : x
  2. Step 2: Convert to fraction form
    427,332.65/640,762.31 = 174,790.46/x
  3. Step 3: Cross multiply
    427,332.65x = 640,762.31 × 174,790.46
  4. Step 4: Simplify right side
    427,332.65x = 111,999,134,837.80
  5. Step 5: Solve for x
    x = 111,999,134,837.80/427,332.65
  6. Step 6: Final answer
    x = 262,088.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.