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Finding the Fourth Proportional to 282,841.53, 390,265.23 and 158,666.49

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Solution

The fourth proportional to 282,841.53, 390,265.23 and 158,666.49 is: 218,928.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,841.53 : 390,265.23 = 158,666.49 : x
  2. Step 2: Convert to fraction form
    282,841.53/390,265.23 = 158,666.49/x
  3. Step 3: Cross multiply
    282,841.53x = 390,265.23 × 158,666.49
  4. Step 4: Simplify right side
    282,841.53x = 61,922,014,213.14
  5. Step 5: Solve for x
    x = 61,922,014,213.14/282,841.53
  6. Step 6: Final answer
    x = 218,928.30

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1.5x scale

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.