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Finding the Fourth Proportional to 282,967.63, 390,487.18 and 155,643.22

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Solution

The fourth proportional to 282,967.63, 390,487.18 and 155,643.22 is: 214,783.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,967.63 : 390,487.18 = 155,643.22 : x
  2. Step 2: Convert to fraction form
    282,967.63/390,487.18 = 155,643.22/x
  3. Step 3: Cross multiply
    282,967.63x = 390,487.18 × 155,643.22
  4. Step 4: Simplify right side
    282,967.63x = 60,776,682,454.75
  5. Step 5: Solve for x
    x = 60,776,682,454.75/282,967.63
  6. Step 6: Final answer
    x = 214,783.16

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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.