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Finding the Fourth Proportional to 409,880.71, 610,699.93 and 386,962.31

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Solution

The fourth proportional to 409,880.71, 610,699.93 and 386,962.31 is: 576,552.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,880.71 : 610,699.93 = 386,962.31 : x
  2. Step 2: Convert to fraction form
    409,880.71/610,699.93 = 386,962.31/x
  3. Step 3: Cross multiply
    409,880.71x = 610,699.93 × 386,962.31
  4. Step 4: Simplify right side
    409,880.71x = 236,317,857,277.31
  5. Step 5: Solve for x
    x = 236,317,857,277.31/409,880.71
  6. Step 6: Final answer
    x = 576,552.77

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.