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Finding the Fourth Proportional to 289,403.20, 434,047.20 and 139,643.20

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Solution

The fourth proportional to 289,403.20, 434,047.20 and 139,643.20 is: 209,437.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,403.20 : 434,047.20 = 139,643.20 : x
  2. Step 2: Convert to fraction form
    289,403.20/434,047.20 = 139,643.20/x
  3. Step 3: Cross multiply
    289,403.20x = 434,047.20 × 139,643.20
  4. Step 4: Simplify right side
    289,403.20x = 60,611,739,959.04
  5. Step 5: Solve for x
    x = 60,611,739,959.04/289,403.20
  6. Step 6: Final answer
    x = 209,437.01

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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.