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Finding the Fourth Proportional to 519,088.40, 778,486.80 and 164,211.20

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Solution

The fourth proportional to 519,088.40, 778,486.80 and 164,211.20 is: 246,270.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,088.40 : 778,486.80 = 164,211.20 : x
  2. Step 2: Convert to fraction form
    519,088.40/778,486.80 = 164,211.20/x
  3. Step 3: Cross multiply
    519,088.40x = 778,486.80 × 164,211.20
  4. Step 4: Simplify right side
    519,088.40x = 127,836,251,612.16
  5. Step 5: Solve for x
    x = 127,836,251,612.16/519,088.40
  6. Step 6: Final answer
    x = 246,270.68

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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.