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Finding the Fourth Proportional to 564,015.64, 778,337.36 and 309,365

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Solution

The fourth proportional to 564,015.64, 778,337.36 and 309,365 is: 426,921.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,015.64 : 778,337.36 = 309,365 : x
  2. Step 2: Convert to fraction form
    564,015.64/778,337.36 = 309,365/x
  3. Step 3: Cross multiply
    564,015.64x = 778,337.36 × 309,365
  4. Step 4: Simplify right side
    564,015.64x = 240,790,337,376.40
  5. Step 5: Solve for x
    x = 240,790,337,376.40/564,015.64
  6. Step 6: Final answer
    x = 426,921.38

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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.