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Finding the Fourth Proportional to 520,098.56, 778,886.68 and 359,724.40

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Solution

The fourth proportional to 520,098.56, 778,886.68 and 359,724.40 is: 538,714.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,098.56 : 778,886.68 = 359,724.40 : x
  2. Step 2: Convert to fraction form
    520,098.56/778,886.68 = 359,724.40/x
  3. Step 3: Cross multiply
    520,098.56x = 778,886.68 × 359,724.40
  4. Step 4: Simplify right side
    520,098.56x = 280,184,543,630.99
  5. Step 5: Solve for x
    x = 280,184,543,630.99/520,098.56
  6. Step 6: Final answer
    x = 538,714.32

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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.