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Finding the Fourth Proportional to 341,500.14, 470,832.12 and 280,019.84

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Solution

The fourth proportional to 341,500.14, 470,832.12 and 280,019.84 is: 386,068.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,500.14 : 470,832.12 = 280,019.84 : x
  2. Step 2: Convert to fraction form
    341,500.14/470,832.12 = 280,019.84/x
  3. Step 3: Cross multiply
    341,500.14x = 470,832.12 × 280,019.84
  4. Step 4: Simplify right side
    341,500.14x = 131,842,334,909.26
  5. Step 5: Solve for x
    x = 131,842,334,909.26/341,500.14
  6. Step 6: Final answer
    x = 386,068.17

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1.5x scale

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.