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Finding the Fourth Proportional to 282,684.96, 390,128.40 and 169,505.28

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Solution

The fourth proportional to 282,684.96, 390,128.40 and 169,505.28 is: 233,931.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,684.96 : 390,128.40 = 169,505.28 : x
  2. Step 2: Convert to fraction form
    282,684.96/390,128.40 = 169,505.28/x
  3. Step 3: Cross multiply
    282,684.96x = 390,128.40 × 169,505.28
  4. Step 4: Simplify right side
    282,684.96x = 66,128,823,677.95
  5. Step 5: Solve for x
    x = 66,128,823,677.95/282,684.96
  6. Step 6: Final answer
    x = 233,931.17

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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.