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Finding the Fourth Proportional to 519,812.19, 779,746.64 and 164,800.53

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Solution

The fourth proportional to 519,812.19, 779,746.64 and 164,800.53 is: 247,209.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,812.19 : 779,746.64 = 164,800.53 : x
  2. Step 2: Convert to fraction form
    519,812.19/779,746.64 = 164,800.53/x
  3. Step 3: Cross multiply
    519,812.19x = 779,746.64 × 164,800.53
  4. Step 4: Simplify right side
    519,812.19x = 128,502,658,713.72
  5. Step 5: Solve for x
    x = 128,502,658,713.72/519,812.19
  6. Step 6: Final answer
    x = 247,209.78

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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.