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Finding the Fourth Proportional to 398,409.77, 549,798.23 and 217,123.27

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Solution

The fourth proportional to 398,409.77, 549,798.23 and 217,123.27 is: 299,626.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,409.77 : 549,798.23 = 217,123.27 : x
  2. Step 2: Convert to fraction form
    398,409.77/549,798.23 = 217,123.27/x
  3. Step 3: Cross multiply
    398,409.77x = 549,798.23 × 217,123.27
  4. Step 4: Simplify right side
    398,409.77x = 119,373,988,706.13
  5. Step 5: Solve for x
    x = 119,373,988,706.13/398,409.77
  6. Step 6: Final answer
    x = 299,626.16

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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.