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Finding the Fourth Proportional to 314,602, 434,150.76 and 180,509.20

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Solution

The fourth proportional to 314,602, 434,150.76 and 180,509.20 is: 249,102.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,602 : 434,150.76 = 180,509.20 : x
  2. Step 2: Convert to fraction form
    314,602/434,150.76 = 180,509.20/x
  3. Step 3: Cross multiply
    314,602x = 434,150.76 × 180,509.20
  4. Step 4: Simplify right side
    314,602x = 78,368,206,366.99
  5. Step 5: Solve for x
    x = 78,368,206,366.99/314,602
  6. Step 6: Final answer
    x = 249,102.70

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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.