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Finding the Fourth Proportional to 520,710.81, 781,509.98 and 205,389.15

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Solution

The fourth proportional to 520,710.81, 781,509.98 and 205,389.15 is: 308,258.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,710.81 : 781,509.98 = 205,389.15 : x
  2. Step 2: Convert to fraction form
    520,710.81/781,509.98 = 205,389.15/x
  3. Step 3: Cross multiply
    520,710.81x = 781,509.98 × 205,389.15
  4. Step 4: Simplify right side
    520,710.81x = 160,513,670,508.72
  5. Step 5: Solve for x
    x = 160,513,670,508.72/520,710.81
  6. Step 6: Final answer
    x = 308,258.76

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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.