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Finding the Fourth Proportional to 218,456.77, 301,315.06 and 145,823.04

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Solution

The fourth proportional to 218,456.77, 301,315.06 and 145,823.04 is: 201,132.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,456.77 : 301,315.06 = 145,823.04 : x
  2. Step 2: Convert to fraction form
    218,456.77/301,315.06 = 145,823.04/x
  3. Step 3: Cross multiply
    218,456.77x = 301,315.06 × 145,823.04
  4. Step 4: Simplify right side
    218,456.77x = 43,938,678,046.98
  5. Step 5: Solve for x
    x = 43,938,678,046.98/218,456.77
  6. Step 6: Final answer
    x = 201,132.14

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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.