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Finding the Fourth Proportional to 557,416.08, 769,253.76 and 315,705.60

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Solution

The fourth proportional to 557,416.08, 769,253.76 and 315,705.60 is: 435,684.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    557,416.08 : 769,253.76 = 315,705.60 : x
  2. Step 2: Convert to fraction form
    557,416.08/769,253.76 = 315,705.60/x
  3. Step 3: Cross multiply
    557,416.08x = 769,253.76 × 315,705.60
  4. Step 4: Simplify right side
    557,416.08x = 242,857,719,853.06
  5. Step 5: Solve for x
    x = 242,857,719,853.06/557,416.08
  6. Step 6: Final answer
    x = 435,684.81

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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.