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Finding the Fourth Proportional to 282,897.56, 390,288.14 and 161,974.22

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Solution

The fourth proportional to 282,897.56, 390,288.14 and 161,974.22 is: 223,461.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,897.56 : 390,288.14 = 161,974.22 : x
  2. Step 2: Convert to fraction form
    282,897.56/390,288.14 = 161,974.22/x
  3. Step 3: Cross multiply
    282,897.56x = 390,288.14 × 161,974.22
  4. Step 4: Simplify right side
    282,897.56x = 63,216,617,051.75
  5. Step 5: Solve for x
    x = 63,216,617,051.75/282,897.56
  6. Step 6: Final answer
    x = 223,461.16

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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.