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Finding the Fourth Proportional to 835,784, 1,153,381.92 and 478,088

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Solution

The fourth proportional to 835,784, 1,153,381.92 and 478,088 is: 659,761.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    835,784 : 1,153,381.92 = 478,088 : x
  2. Step 2: Convert to fraction form
    835,784/1,153,381.92 = 478,088/x
  3. Step 3: Cross multiply
    835,784x = 1,153,381.92 × 478,088
  4. Step 4: Simplify right side
    835,784x = 551,418,055,368.96
  5. Step 5: Solve for x
    x = 551,418,055,368.96/835,784
  6. Step 6: Final answer
    x = 659,761.44

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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.