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Finding the Fourth Proportional to 564,113.14, 778,462.77 and 309,462.10

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Solution

The fourth proportional to 564,113.14, 778,462.77 and 309,462.10 is: 427,050.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,113.14 : 778,462.77 = 309,462.10 : x
  2. Step 2: Convert to fraction form
    564,113.14/778,462.77 = 309,462.10/x
  3. Step 3: Cross multiply
    564,113.14x = 778,462.77 × 309,462.10
  4. Step 4: Simplify right side
    564,113.14x = 240,904,719,683.70
  5. Step 5: Solve for x
    x = 240,904,719,683.70/564,113.14
  6. Step 6: Final answer
    x = 427,050.36

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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.