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Finding the Fourth Proportional to 402,260.78, 602,878.20 and 188,557.32

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Solution

The fourth proportional to 402,260.78, 602,878.20 and 188,557.32 is: 282,595.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,260.78 : 602,878.20 = 188,557.32 : x
  2. Step 2: Convert to fraction form
    402,260.78/602,878.20 = 188,557.32/x
  3. Step 3: Cross multiply
    402,260.78x = 602,878.20 × 188,557.32
  4. Step 4: Simplify right side
    402,260.78x = 113,677,097,678.42
  5. Step 5: Solve for x
    x = 113,677,097,678.42/402,260.78
  6. Step 6: Final answer
    x = 282,595.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.