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Finding the Fourth Proportional to 768,880.08, 1,152,888.12 and 319,298.49

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Solution

The fourth proportional to 768,880.08, 1,152,888.12 and 319,298.49 is: 478,768.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    768,880.08 : 1,152,888.12 = 319,298.49 : x
  2. Step 2: Convert to fraction form
    768,880.08/1,152,888.12 = 319,298.49/x
  3. Step 3: Cross multiply
    768,880.08x = 1,152,888.12 × 319,298.49
  4. Step 4: Simplify right side
    768,880.08x = 368,115,435,854.94
  5. Step 5: Solve for x
    x = 368,115,435,854.94/768,880.08
  6. Step 6: Final answer
    x = 478,768.34

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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.