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Finding the Fourth Proportional to 282,638.16, 390,024.72 and 173,783.88

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Solution

The fourth proportional to 282,638.16, 390,024.72 and 173,783.88 is: 239,811.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,638.16 : 390,024.72 = 173,783.88 : x
  2. Step 2: Convert to fraction form
    282,638.16/390,024.72 = 173,783.88/x
  3. Step 3: Cross multiply
    282,638.16x = 390,024.72 × 173,783.88
  4. Step 4: Simplify right side
    282,638.16x = 67,780,009,137.51
  5. Step 5: Solve for x
    x = 67,780,009,137.51/282,638.16
  6. Step 6: Final answer
    x = 239,811.95

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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.