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Finding the Fourth Proportional to 310,661.10, 428,707.26 and 172,834.74

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Solution

The fourth proportional to 310,661.10, 428,707.26 and 172,834.74 is: 238,509.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,661.10 : 428,707.26 = 172,834.74 : x
  2. Step 2: Convert to fraction form
    310,661.10/428,707.26 = 172,834.74/x
  3. Step 3: Cross multiply
    310,661.10x = 428,707.26 × 172,834.74
  4. Step 4: Simplify right side
    310,661.10x = 74,095,507,818.21
  5. Step 5: Solve for x
    x = 74,095,507,818.21/310,661.10
  6. Step 6: Final answer
    x = 238,509.13

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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.