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Finding the Fourth Proportional to 282,803.98, 390,272.16 and 155,480.50

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Solution

The fourth proportional to 282,803.98, 390,272.16 and 155,480.50 is: 214,564.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,803.98 : 390,272.16 = 155,480.50 : x
  2. Step 2: Convert to fraction form
    282,803.98/390,272.16 = 155,480.50/x
  3. Step 3: Cross multiply
    282,803.98x = 390,272.16 × 155,480.50
  4. Step 4: Simplify right side
    282,803.98x = 60,679,710,572.88
  5. Step 5: Solve for x
    x = 60,679,710,572.88/282,803.98
  6. Step 6: Final answer
    x = 214,564.56

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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.