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Finding the Fourth Proportional to 282,814.16, 390,285 and 155,497.95

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Solution

The fourth proportional to 282,814.16, 390,285 and 155,497.95 is: 214,587.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,814.16 : 390,285 = 155,497.95 : x
  2. Step 2: Convert to fraction form
    282,814.16/390,285 = 155,497.95/x
  3. Step 3: Cross multiply
    282,814.16x = 390,285 × 155,497.95
  4. Step 4: Simplify right side
    282,814.16x = 60,688,517,415.75
  5. Step 5: Solve for x
    x = 60,688,517,415.75/282,814.16
  6. Step 6: Final answer
    x = 214,587.98

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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.