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Finding the Fourth Proportional to 398,412.32, 549,809.02 and 219,564.32

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Solution

The fourth proportional to 398,412.32, 549,809.02 and 219,564.32 is: 302,998.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,412.32 : 549,809.02 = 219,564.32 : x
  2. Step 2: Convert to fraction form
    398,412.32/549,809.02 = 219,564.32/x
  3. Step 3: Cross multiply
    398,412.32x = 549,809.02 × 219,564.32
  4. Step 4: Simplify right side
    398,412.32x = 120,718,443,606.17
  5. Step 5: Solve for x
    x = 120,718,443,606.17/398,412.32
  6. Step 6: Final answer
    x = 302,998.77

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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.