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Finding the Fourth Proportional to 430,503.51, 645,520.77 and 278,680.17

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Solution

The fourth proportional to 430,503.51, 645,520.77 and 278,680.17 is: 417,868.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,503.51 : 645,520.77 = 278,680.17 : x
  2. Step 2: Convert to fraction form
    430,503.51/645,520.77 = 278,680.17/x
  3. Step 3: Cross multiply
    430,503.51x = 645,520.77 × 278,680.17
  4. Step 4: Simplify right side
    430,503.51x = 179,893,837,922.13
  5. Step 5: Solve for x
    x = 179,893,837,922.13/430,503.51
  6. Step 6: Final answer
    x = 417,868.46

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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.