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Finding the Fourth Proportional to 398,056.64, 549,356.96 and 297,279.68

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Solution

The fourth proportional to 398,056.64, 549,356.96 and 297,279.68 is: 410,274.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,056.64 : 549,356.96 = 297,279.68 : x
  2. Step 2: Convert to fraction form
    398,056.64/549,356.96 = 297,279.68/x
  3. Step 3: Cross multiply
    398,056.64x = 549,356.96 × 297,279.68
  4. Step 4: Simplify right side
    398,056.64x = 163,312,661,274.57
  5. Step 5: Solve for x
    x = 163,312,661,274.57/398,056.64
  6. Step 6: Final answer
    x = 410,274.93

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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.