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Finding the Fourth Proportional to 510,826.40, 766,320.60 and 173,898.80

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Solution

The fourth proportional to 510,826.40, 766,320.60 and 173,898.80 is: 260,875.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,826.40 : 766,320.60 = 173,898.80 : x
  2. Step 2: Convert to fraction form
    510,826.40/766,320.60 = 173,898.80/x
  3. Step 3: Cross multiply
    510,826.40x = 766,320.60 × 173,898.80
  4. Step 4: Simplify right side
    510,826.40x = 133,262,232,755.28
  5. Step 5: Solve for x
    x = 133,262,232,755.28/510,826.40
  6. Step 6: Final answer
    x = 260,875.77

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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.