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Finding the Fourth Proportional to 564,381.76, 778,861.20 and 309,730.72

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Solution

The fourth proportional to 564,381.76, 778,861.20 and 309,730.72 is: 427,436.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,381.76 : 778,861.20 = 309,730.72 : x
  2. Step 2: Convert to fraction form
    564,381.76/778,861.20 = 309,730.72/x
  3. Step 3: Cross multiply
    564,381.76x = 778,861.20 × 309,730.72
  4. Step 4: Simplify right side
    564,381.76x = 241,237,240,256.06
  5. Step 5: Solve for x
    x = 241,237,240,256.06/564,381.76
  6. Step 6: Final answer
    x = 427,436.28

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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.