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Finding the Fourth Proportional to 372,780.36, 514,458.42 and 280,734.84

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Solution

The fourth proportional to 372,780.36, 514,458.42 and 280,734.84 is: 387,430.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    372,780.36 : 514,458.42 = 280,734.84 : x
  2. Step 2: Convert to fraction form
    372,780.36/514,458.42 = 280,734.84/x
  3. Step 3: Cross multiply
    372,780.36x = 514,458.42 × 280,734.84
  4. Step 4: Simplify right side
    372,780.36x = 144,426,402,225.35
  5. Step 5: Solve for x
    x = 144,426,402,225.35/372,780.36
  6. Step 6: Final answer
    x = 387,430.29

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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.