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Finding the Fourth Proportional to 282,756.51, 390,204.41 and 155,432.88

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Solution

The fourth proportional to 282,756.51, 390,204.41 and 155,432.88 is: 214,497.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,756.51 : 390,204.41 = 155,432.88 : x
  2. Step 2: Convert to fraction form
    282,756.51/390,204.41 = 155,432.88/x
  3. Step 3: Cross multiply
    282,756.51x = 390,204.41 × 155,432.88
  4. Step 4: Simplify right side
    282,756.51x = 60,650,594,457.84
  5. Step 5: Solve for x
    x = 60,650,594,457.84/282,756.51
  6. Step 6: Final answer
    x = 214,497.61

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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.