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Finding the Fourth Proportional to 398,171.50, 549,476.70 and 219,323.50

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Solution

The fourth proportional to 398,171.50, 549,476.70 and 219,323.50 is: 302,666.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,171.50 : 549,476.70 = 219,323.50 : x
  2. Step 2: Convert to fraction form
    398,171.50/549,476.70 = 219,323.50/x
  3. Step 3: Cross multiply
    398,171.50x = 549,476.70 × 219,323.50
  4. Step 4: Simplify right side
    398,171.50x = 120,513,153,012.45
  5. Step 5: Solve for x
    x = 120,513,153,012.45/398,171.50
  6. Step 6: Final answer
    x = 302,666.45

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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.