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Finding the Fourth Proportional to 346,468.40, 519,345.40 and 133,178.48

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Solution

The fourth proportional to 346,468.40, 519,345.40 and 133,178.48 is: 199,630.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,468.40 : 519,345.40 = 133,178.48 : x
  2. Step 2: Convert to fraction form
    346,468.40/519,345.40 = 133,178.48/x
  3. Step 3: Cross multiply
    346,468.40x = 519,345.40 × 133,178.48
  4. Step 4: Simplify right side
    346,468.40x = 69,165,630,966.99
  5. Step 5: Solve for x
    x = 69,165,630,966.99/346,468.40
  6. Step 6: Final answer
    x = 199,630.42

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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.