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Finding the Fourth Proportional to 391,706.51, 540,356.01 and 255,820

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Solution

The fourth proportional to 391,706.51, 540,356.01 and 255,820 is: 352,901.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,706.51 : 540,356.01 = 255,820 : x
  2. Step 2: Convert to fraction form
    391,706.51/540,356.01 = 255,820/x
  3. Step 3: Cross multiply
    391,706.51x = 540,356.01 × 255,820
  4. Step 4: Simplify right side
    391,706.51x = 138,233,874,478.20
  5. Step 5: Solve for x
    x = 138,233,874,478.20/391,706.51
  6. Step 6: Final answer
    x = 352,901.65

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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.