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Finding the Fourth Proportional to 586,396.86, 809,159.40 and 328,287.96

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Solution

The fourth proportional to 586,396.86, 809,159.40 and 328,287.96 is: 452,999.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    586,396.86 : 809,159.40 = 328,287.96 : x
  2. Step 2: Convert to fraction form
    586,396.86/809,159.40 = 328,287.96/x
  3. Step 3: Cross multiply
    586,396.86x = 809,159.40 × 328,287.96
  4. Step 4: Simplify right side
    586,396.86x = 265,637,288,740.82
  5. Step 5: Solve for x
    x = 265,637,288,740.82/586,396.86
  6. Step 6: Final answer
    x = 452,999.17

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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.