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Finding the Fourth Proportional to 564,711.76, 779,314.80 and 310,063.96

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Solution

The fourth proportional to 564,711.76, 779,314.80 and 310,063.96 is: 427,895.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,711.76 : 779,314.80 = 310,063.96 : x
  2. Step 2: Convert to fraction form
    564,711.76/779,314.80 = 310,063.96/x
  3. Step 3: Cross multiply
    564,711.76x = 779,314.80 × 310,063.96
  4. Step 4: Simplify right side
    564,711.76x = 241,637,432,974.61
  5. Step 5: Solve for x
    x = 241,637,432,974.61/564,711.76
  6. Step 6: Final answer
    x = 427,895.17

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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.