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Finding the Fourth Proportional to 346,041.64, 519,066.78 and 109,405

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Solution

The fourth proportional to 346,041.64, 519,066.78 and 109,405 is: 164,108.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,041.64 : 519,066.78 = 109,405 : x
  2. Step 2: Convert to fraction form
    346,041.64/519,066.78 = 109,405/x
  3. Step 3: Cross multiply
    346,041.64x = 519,066.78 × 109,405
  4. Step 4: Simplify right side
    346,041.64x = 56,788,501,065.90
  5. Step 5: Solve for x
    x = 56,788,501,065.90/346,041.64
  6. Step 6: Final answer
    x = 164,108.87

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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.