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Finding the Fourth Proportional to 320,468.64, 480,002.40 and 162,425.76

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Solution

The fourth proportional to 320,468.64, 480,002.40 and 162,425.76 is: 243,283.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,468.64 : 480,002.40 = 162,425.76 : x
  2. Step 2: Convert to fraction form
    320,468.64/480,002.40 = 162,425.76/x
  3. Step 3: Cross multiply
    320,468.64x = 480,002.40 × 162,425.76
  4. Step 4: Simplify right side
    320,468.64x = 77,964,754,621.82
  5. Step 5: Solve for x
    x = 77,964,754,621.82/320,468.64
  6. Step 6: Final answer
    x = 243,283.57

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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.