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Finding the Fourth Proportional to 349,856.80, 523,618.80 and 307,866.40

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Solution

The fourth proportional to 349,856.80, 523,618.80 and 307,866.40 is: 460,773.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,856.80 : 523,618.80 = 307,866.40 : x
  2. Step 2: Convert to fraction form
    349,856.80/523,618.80 = 307,866.40/x
  3. Step 3: Cross multiply
    349,856.80x = 523,618.80 × 307,866.40
  4. Step 4: Simplify right side
    349,856.80x = 161,204,634,928.32
  5. Step 5: Solve for x
    x = 161,204,634,928.32/349,856.80
  6. Step 6: Final answer
    x = 460,773.19

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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.