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Finding the Fourth Proportional to 564,003.64, 778,320.78 and 309,353.02

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Solution

The fourth proportional to 564,003.64, 778,320.78 and 309,353.02 is: 426,904.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,003.64 : 778,320.78 = 309,353.02 : x
  2. Step 2: Convert to fraction form
    564,003.64/778,320.78 = 309,353.02/x
  3. Step 3: Cross multiply
    564,003.64x = 778,320.78 × 309,353.02
  4. Step 4: Simplify right side
    564,003.64x = 240,775,883,821.76
  5. Step 5: Solve for x
    x = 240,775,883,821.76/564,003.64
  6. Step 6: Final answer
    x = 426,904.84

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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.