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Finding the Fourth Proportional to 315,642, 435,598.92 and 181,506

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Solution

The fourth proportional to 315,642, 435,598.92 and 181,506 is: 250,485.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,642 : 435,598.92 = 181,506 : x
  2. Step 2: Convert to fraction form
    315,642/435,598.92 = 181,506/x
  3. Step 3: Cross multiply
    315,642x = 435,598.92 × 181,506
  4. Step 4: Simplify right side
    315,642x = 79,063,817,573.52
  5. Step 5: Solve for x
    x = 79,063,817,573.52/315,642
  6. Step 6: Final answer
    x = 250,485.73

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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.