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Finding the Fourth Proportional to 402,878.72, 556,069.70 and 230,897.48

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Solution

The fourth proportional to 402,878.72, 556,069.70 and 230,897.48 is: 318,694.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,878.72 : 556,069.70 = 230,897.48 : x
  2. Step 2: Convert to fraction form
    402,878.72/556,069.70 = 230,897.48/x
  3. Step 3: Cross multiply
    402,878.72x = 556,069.70 × 230,897.48
  4. Step 4: Simplify right side
    402,878.72x = 128,395,091,344.66
  5. Step 5: Solve for x
    x = 128,395,091,344.66/402,878.72
  6. Step 6: Final answer
    x = 318,694.15

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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.