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Finding the Fourth Proportional to 282,970.56, 390,492.92 and 155,643.44

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Solution

The fourth proportional to 282,970.56, 390,492.92 and 155,643.44 is: 214,784.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,970.56 : 390,492.92 = 155,643.44 : x
  2. Step 2: Convert to fraction form
    282,970.56/390,492.92 = 155,643.44/x
  3. Step 3: Cross multiply
    282,970.56x = 390,492.92 × 155,643.44
  4. Step 4: Simplify right side
    282,970.56x = 60,777,661,364.44
  5. Step 5: Solve for x
    x = 60,777,661,364.44/282,970.56
  6. Step 6: Final answer
    x = 214,784.40

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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.