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Finding the Fourth Proportional to 305,468.60, 457,814.10 and 272,031.80

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Solution

The fourth proportional to 305,468.60, 457,814.10 and 272,031.80 is: 407,701.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,468.60 : 457,814.10 = 272,031.80 : x
  2. Step 2: Convert to fraction form
    305,468.60/457,814.10 = 272,031.80/x
  3. Step 3: Cross multiply
    305,468.60x = 457,814.10 × 272,031.80
  4. Step 4: Simplify right side
    305,468.60x = 124,539,993,688.38
  5. Step 5: Solve for x
    x = 124,539,993,688.38/305,468.60
  6. Step 6: Final answer
    x = 407,701.46

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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.