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Finding the Fourth Proportional to 564,710.88, 779,312.16 and 310,059.84

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Solution

The fourth proportional to 564,710.88, 779,312.16 and 310,059.84 is: 427,888.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,710.88 : 779,312.16 = 310,059.84 : x
  2. Step 2: Convert to fraction form
    564,710.88/779,312.16 = 310,059.84/x
  3. Step 3: Cross multiply
    564,710.88x = 779,312.16 × 310,059.84
  4. Step 4: Simplify right side
    564,710.88x = 241,633,403,639.65
  5. Step 5: Solve for x
    x = 241,633,403,639.65/564,710.88
  6. Step 6: Final answer
    x = 427,888.70

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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.