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Finding the Fourth Proportional to 469,869.93, 648,125.55 and 278,748

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Solution

The fourth proportional to 469,869.93, 648,125.55 and 278,748 is: 384,497.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,869.93 : 648,125.55 = 278,748 : x
  2. Step 2: Convert to fraction form
    469,869.93/648,125.55 = 278,748/x
  3. Step 3: Cross multiply
    469,869.93x = 648,125.55 × 278,748
  4. Step 4: Simplify right side
    469,869.93x = 180,663,700,811.40
  5. Step 5: Solve for x
    x = 180,663,700,811.40/469,869.93
  6. Step 6: Final answer
    x = 384,497.26

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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.