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Finding the Fourth Proportional to 282,756.64, 390,204.58 and 155,433.01

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Solution

The fourth proportional to 282,756.64, 390,204.58 and 155,433.01 is: 214,497.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,756.64 : 390,204.58 = 155,433.01 : x
  2. Step 2: Convert to fraction form
    282,756.64/390,204.58 = 155,433.01/x
  3. Step 3: Cross multiply
    282,756.64x = 390,204.58 × 155,433.01
  4. Step 4: Simplify right side
    282,756.64x = 60,650,672,385.19
  5. Step 5: Solve for x
    x = 60,650,672,385.19/282,756.64
  6. Step 6: Final answer
    x = 214,497.78

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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.