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Finding the Fourth Proportional to 407,721.60, 611,582.40 and 401,816.70

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Solution

The fourth proportional to 407,721.60, 611,582.40 and 401,816.70 is: 602,725.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,721.60 : 611,582.40 = 401,816.70 : x
  2. Step 2: Convert to fraction form
    407,721.60/611,582.40 = 401,816.70/x
  3. Step 3: Cross multiply
    407,721.60x = 611,582.40 × 401,816.70
  4. Step 4: Simplify right side
    407,721.60x = 245,744,021,746.08
  5. Step 5: Solve for x
    x = 245,744,021,746.08/407,721.60
  6. Step 6: Final answer
    x = 602,725.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.