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Finding the Fourth Proportional to 402,097.53, 555,019.16 and 258,857.58

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Solution

The fourth proportional to 402,097.53, 555,019.16 and 258,857.58 is: 357,303.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,097.53 : 555,019.16 = 258,857.58 : x
  2. Step 2: Convert to fraction form
    402,097.53/555,019.16 = 258,857.58/x
  3. Step 3: Cross multiply
    402,097.53x = 555,019.16 × 258,857.58
  4. Step 4: Simplify right side
    402,097.53x = 143,670,914,276.28
  5. Step 5: Solve for x
    x = 143,670,914,276.28/402,097.53
  6. Step 6: Final answer
    x = 357,303.64

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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.