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Finding the Fourth Proportional to 564,112.64, 778,462.08 and 309,461.60

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Solution

The fourth proportional to 564,112.64, 778,462.08 and 309,461.60 is: 427,049.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,112.64 : 778,462.08 = 309,461.60 : x
  2. Step 2: Convert to fraction form
    564,112.64/778,462.08 = 309,461.60/x
  3. Step 3: Cross multiply
    564,112.64x = 778,462.08 × 309,461.60
  4. Step 4: Simplify right side
    564,112.64x = 240,904,116,923.82
  5. Step 5: Solve for x
    x = 240,904,116,923.82/564,112.64
  6. Step 6: Final answer
    x = 427,049.67

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1.5x scale

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.