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Finding the Fourth Proportional to 521,005.80, 781,314.30 and 205,397.40

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Solution

The fourth proportional to 521,005.80, 781,314.30 and 205,397.40 is: 308,019.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,005.80 : 781,314.30 = 205,397.40 : x
  2. Step 2: Convert to fraction form
    521,005.80/781,314.30 = 205,397.40/x
  3. Step 3: Cross multiply
    521,005.80x = 781,314.30 × 205,397.40
  4. Step 4: Simplify right side
    521,005.80x = 160,479,925,802.82
  5. Step 5: Solve for x
    x = 160,479,925,802.82/521,005.80
  6. Step 6: Final answer
    x = 308,019.46

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.