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Finding the Fourth Proportional to 282,706.48, 390,128.40 and 153,641.92

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Solution

The fourth proportional to 282,706.48, 390,128.40 and 153,641.92 is: 212,022.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,706.48 : 390,128.40 = 153,641.92 : x
  2. Step 2: Convert to fraction form
    282,706.48/390,128.40 = 153,641.92/x
  3. Step 3: Cross multiply
    282,706.48x = 390,128.40 × 153,641.92
  4. Step 4: Simplify right side
    282,706.48x = 59,940,076,422.53
  5. Step 5: Solve for x
    x = 59,940,076,422.53/282,706.48
  6. Step 6: Final answer
    x = 212,022.29

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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.