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Finding the Fourth Proportional to 645,531.84, 965,692.80 and 578,308.32

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Solution

The fourth proportional to 645,531.84, 965,692.80 and 578,308.32 is: 865,128.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    645,531.84 : 965,692.80 = 578,308.32 : x
  2. Step 2: Convert to fraction form
    645,531.84/965,692.80 = 578,308.32/x
  3. Step 3: Cross multiply
    645,531.84x = 965,692.80 × 578,308.32
  4. Step 4: Simplify right side
    645,531.84x = 558,468,180,804.10
  5. Step 5: Solve for x
    x = 558,468,180,804.10/645,531.84
  6. Step 6: Final answer
    x = 865,128.79

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.