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Finding the Fourth Proportional to 282,818.34, 390,233.34 and 158,643.32

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Solution

The fourth proportional to 282,818.34, 390,233.34 and 158,643.32 is: 218,896.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,818.34 : 390,233.34 = 158,643.32 : x
  2. Step 2: Convert to fraction form
    282,818.34/390,233.34 = 158,643.32/x
  3. Step 3: Cross multiply
    282,818.34x = 390,233.34 × 158,643.32
  4. Step 4: Simplify right side
    282,818.34x = 61,907,910,681.12
  5. Step 5: Solve for x
    x = 61,907,910,681.12/282,818.34
  6. Step 6: Final answer
    x = 218,896.38

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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.