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Finding the Fourth Proportional to 564,880.63, 779,541.35 and 310,231.82

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Solution

The fourth proportional to 564,880.63, 779,541.35 and 310,231.82 is: 428,123.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,880.63 : 779,541.35 = 310,231.82 : x
  2. Step 2: Convert to fraction form
    564,880.63/779,541.35 = 310,231.82/x
  3. Step 3: Cross multiply
    564,880.63x = 779,541.35 × 310,231.82
  4. Step 4: Simplify right side
    564,880.63x = 241,838,527,878.05
  5. Step 5: Solve for x
    x = 241,838,527,878.05/564,880.63
  6. Step 6: Final answer
    x = 428,123.24

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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.