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Finding the Fourth Proportional to 282,240.52, 389,491.76 and 159,730.67

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Solution

The fourth proportional to 282,240.52, 389,491.76 and 159,730.67 is: 220,428.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,240.52 : 389,491.76 = 159,730.67 : x
  2. Step 2: Convert to fraction form
    282,240.52/389,491.76 = 159,730.67/x
  3. Step 3: Cross multiply
    282,240.52x = 389,491.76 × 159,730.67
  4. Step 4: Simplify right side
    282,240.52x = 62,213,779,959.36
  5. Step 5: Solve for x
    x = 62,213,779,959.36/282,240.52
  6. Step 6: Final answer
    x = 220,428.24

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1.5x scale

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.