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Finding the Fourth Proportional to 282,699.47, 390,216.15 and 180,998.84

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Solution

The fourth proportional to 282,699.47, 390,216.15 and 180,998.84 is: 249,836.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,699.47 : 390,216.15 = 180,998.84 : x
  2. Step 2: Convert to fraction form
    282,699.47/390,216.15 = 180,998.84/x
  3. Step 3: Cross multiply
    282,699.47x = 390,216.15 × 180,998.84
  4. Step 4: Simplify right side
    282,699.47x = 70,628,671,474.81
  5. Step 5: Solve for x
    x = 70,628,671,474.81/282,699.47
  6. Step 6: Final answer
    x = 249,836.59

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1.5x scale

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.