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Finding the Fourth Proportional to 566,116.64, 780,916.48 and 353,780

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Solution

The fourth proportional to 566,116.64, 780,916.48 and 353,780 is: 488,013.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    566,116.64 : 780,916.48 = 353,780 : x
  2. Step 2: Convert to fraction form
    566,116.64/780,916.48 = 353,780/x
  3. Step 3: Cross multiply
    566,116.64x = 780,916.48 × 353,780
  4. Step 4: Simplify right side
    566,116.64x = 276,272,632,294.40
  5. Step 5: Solve for x
    x = 276,272,632,294.40/566,116.64
  6. Step 6: Final answer
    x = 488,013.62

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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.