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Finding the Fourth Proportional to 566,006.82, 781,101.56 and 311,358

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Solution

The fourth proportional to 566,006.82, 781,101.56 and 311,358 is: 429,680.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    566,006.82 : 781,101.56 = 311,358 : x
  2. Step 2: Convert to fraction form
    566,006.82/781,101.56 = 311,358/x
  3. Step 3: Cross multiply
    566,006.82x = 781,101.56 × 311,358
  4. Step 4: Simplify right side
    566,006.82x = 243,202,219,518.48
  5. Step 5: Solve for x
    x = 243,202,219,518.48/566,006.82
  6. Step 6: Final answer
    x = 429,680.72

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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.