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Finding the Fourth Proportional to 564,688.94, 779,272.07 and 310,056.53

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Solution

The fourth proportional to 564,688.94, 779,272.07 and 310,056.53 is: 427,878.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,688.94 : 779,272.07 = 310,056.53 : x
  2. Step 2: Convert to fraction form
    564,688.94/779,272.07 = 310,056.53/x
  3. Step 3: Cross multiply
    564,688.94x = 779,272.07 × 310,056.53
  4. Step 4: Simplify right side
    564,688.94x = 241,618,388,503.47
  5. Step 5: Solve for x
    x = 241,618,388,503.47/564,688.94
  6. Step 6: Final answer
    x = 427,878.74

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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.