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Finding the Fourth Proportional to 407,721.90, 610,416.45 and 407,721.90

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Solution

The fourth proportional to 407,721.90, 610,416.45 and 407,721.90 is: 610,416.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,721.90 : 610,416.45 = 407,721.90 : x
  2. Step 2: Convert to fraction form
    407,721.90/610,416.45 = 407,721.90/x
  3. Step 3: Cross multiply
    407,721.90x = 610,416.45 × 407,721.90
  4. Step 4: Simplify right side
    407,721.90x = 248,880,154,785.26
  5. Step 5: Solve for x
    x = 248,880,154,785.26/407,721.90
  6. Step 6: Final answer
    x = 610,416.45

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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.