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Finding the Fourth Proportional to 282,682.31, 390,192.48 and 180,981.68

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Solution

The fourth proportional to 282,682.31, 390,192.48 and 180,981.68 is: 249,812.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,682.31 : 390,192.48 = 180,981.68 : x
  2. Step 2: Convert to fraction form
    282,682.31/390,192.48 = 180,981.68/x
  3. Step 3: Cross multiply
    282,682.31x = 390,192.48 × 180,981.68
  4. Step 4: Simplify right side
    282,682.31x = 70,617,688,602.80
  5. Step 5: Solve for x
    x = 70,617,688,602.80/282,682.31
  6. Step 6: Final answer
    x = 249,812.91

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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.