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Finding the Fourth Proportional to 713,925.82, 985,208.43 and 407,998.69

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Solution

The fourth proportional to 713,925.82, 985,208.43 and 407,998.69 is: 563,032.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,925.82 : 985,208.43 = 407,998.69 : x
  2. Step 2: Convert to fraction form
    713,925.82/985,208.43 = 407,998.69/x
  3. Step 3: Cross multiply
    713,925.82x = 985,208.43 × 407,998.69
  4. Step 4: Simplify right side
    713,925.82x = 401,963,748,816.96
  5. Step 5: Solve for x
    x = 401,963,748,816.96/713,925.82
  6. Step 6: Final answer
    x = 563,032.93

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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.