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Finding the Fourth Proportional to 564,907.64, 779,570.05 and 306,782.56

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Solution

The fourth proportional to 564,907.64, 779,570.05 and 306,782.56 is: 423,358.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,907.64 : 779,570.05 = 306,782.56 : x
  2. Step 2: Convert to fraction form
    564,907.64/779,570.05 = 306,782.56/x
  3. Step 3: Cross multiply
    564,907.64x = 779,570.05 × 306,782.56
  4. Step 4: Simplify right side
    564,907.64x = 239,158,497,750.77
  5. Step 5: Solve for x
    x = 239,158,497,750.77/564,907.64
  6. Step 6: Final answer
    x = 423,358.58

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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.