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Finding the Fourth Proportional to 585,502.56, 808,009.20 and 355,980.96

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Solution

The fourth proportional to 585,502.56, 808,009.20 and 355,980.96 is: 491,263.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    585,502.56 : 808,009.20 = 355,980.96 : x
  2. Step 2: Convert to fraction form
    585,502.56/808,009.20 = 355,980.96/x
  3. Step 3: Cross multiply
    585,502.56x = 808,009.20 × 355,980.96
  4. Step 4: Simplify right side
    585,502.56x = 287,635,890,704.83
  5. Step 5: Solve for x
    x = 287,635,890,704.83/585,502.56
  6. Step 6: Final answer
    x = 491,263.25

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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.