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Finding the Fourth Proportional to 208,359.02, 312,543.14 and 144,254

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Solution

The fourth proportional to 208,359.02, 312,543.14 and 144,254 is: 216,384.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,359.02 : 312,543.14 = 144,254 : x
  2. Step 2: Convert to fraction form
    208,359.02/312,543.14 = 144,254/x
  3. Step 3: Cross multiply
    208,359.02x = 312,543.14 × 144,254
  4. Step 4: Simplify right side
    208,359.02x = 45,085,598,117.56
  5. Step 5: Solve for x
    x = 45,085,598,117.56/208,359.02
  6. Step 6: Final answer
    x = 216,384.19

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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.