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Finding the Fourth Proportional to 282,643.60, 423,916.80 and 105,059.20

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Solution

The fourth proportional to 282,643.60, 423,916.80 and 105,059.20 is: 157,570.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,643.60 : 423,916.80 = 105,059.20 : x
  2. Step 2: Convert to fraction form
    282,643.60/423,916.80 = 105,059.20/x
  3. Step 3: Cross multiply
    282,643.60x = 423,916.80 × 105,059.20
  4. Step 4: Simplify right side
    282,643.60x = 44,536,359,874.56
  5. Step 5: Solve for x
    x = 44,536,359,874.56/282,643.60
  6. Step 6: Final answer
    x = 157,570.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.