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Finding the Fourth Proportional to 282,348.90, 423,688.59 and 104,978.34

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Solution

The fourth proportional to 282,348.90, 423,688.59 and 104,978.34 is: 157,528.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,348.90 : 423,688.59 = 104,978.34 : x
  2. Step 2: Convert to fraction form
    282,348.90/423,688.59 = 104,978.34/x
  3. Step 3: Cross multiply
    282,348.90x = 423,688.59 × 104,978.34
  4. Step 4: Simplify right side
    282,348.90x = 44,478,124,855.14
  5. Step 5: Solve for x
    x = 44,478,124,855.14/282,348.90
  6. Step 6: Final answer
    x = 157,528.95

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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.