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Finding the Fourth Proportional to 310,678.65, 428,739.03 and 172,859.58

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Solution

The fourth proportional to 310,678.65, 428,739.03 and 172,859.58 is: 238,547.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,678.65 : 428,739.03 = 172,859.58 : x
  2. Step 2: Convert to fraction form
    310,678.65/428,739.03 = 172,859.58/x
  3. Step 3: Cross multiply
    310,678.65x = 428,739.03 × 172,859.58
  4. Step 4: Simplify right side
    310,678.65x = 74,111,648,655.41
  5. Step 5: Solve for x
    x = 74,111,648,655.41/310,678.65
  6. Step 6: Final answer
    x = 238,547.61

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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.