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Finding the Fourth Proportional to 282,757.64, 390,205.96 and 155,434.01

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Solution

The fourth proportional to 282,757.64, 390,205.96 and 155,434.01 is: 214,499.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,757.64 : 390,205.96 = 155,434.01 : x
  2. Step 2: Convert to fraction form
    282,757.64/390,205.96 = 155,434.01/x
  3. Step 3: Cross multiply
    282,757.64x = 390,205.96 × 155,434.01
  4. Step 4: Simplify right side
    282,757.64x = 60,651,277,088.70
  5. Step 5: Solve for x
    x = 60,651,277,088.70/282,757.64
  6. Step 6: Final answer
    x = 214,499.16

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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.