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Finding the Fourth Proportional to 289,356.48, 433,598.84 and 257,823.02

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Solution

The fourth proportional to 289,356.48, 433,598.84 and 257,823.02 is: 386,346.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,356.48 : 433,598.84 = 257,823.02 : x
  2. Step 2: Convert to fraction form
    289,356.48/433,598.84 = 257,823.02/x
  3. Step 3: Cross multiply
    289,356.48x = 433,598.84 × 257,823.02
  4. Step 4: Simplify right side
    289,356.48x = 111,791,760,873.86
  5. Step 5: Solve for x
    x = 111,791,760,873.86/289,356.48
  6. Step 6: Final answer
    x = 386,346.15

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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.