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Finding the Fourth Proportional to 478,091.13, 716,907.96 and 278,468.46

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Solution

The fourth proportional to 478,091.13, 716,907.96 and 278,468.46 is: 417,569.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,091.13 : 716,907.96 = 278,468.46 : x
  2. Step 2: Convert to fraction form
    478,091.13/716,907.96 = 278,468.46/x
  3. Step 3: Cross multiply
    478,091.13x = 716,907.96 × 278,468.46
  4. Step 4: Simplify right side
    478,091.13x = 199,636,255,582.94
  5. Step 5: Solve for x
    x = 199,636,255,582.94/478,091.13
  6. Step 6: Final answer
    x = 417,569.46

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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.