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Finding the Fourth Proportional to 562,808.05, 777,356.72 and 409,603.30

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Solution

The fourth proportional to 562,808.05, 777,356.72 and 409,603.30 is: 565,748.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    562,808.05 : 777,356.72 = 409,603.30 : x
  2. Step 2: Convert to fraction form
    562,808.05/777,356.72 = 409,603.30/x
  3. Step 3: Cross multiply
    562,808.05x = 777,356.72 × 409,603.30
  4. Step 4: Simplify right side
    562,808.05x = 318,407,877,789.18
  5. Step 5: Solve for x
    x = 318,407,877,789.18/562,808.05
  6. Step 6: Final answer
    x = 565,748.62

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.