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Finding the Fourth Proportional to 729,854.72, 1,007,190 and 407,570.48

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Solution

The fourth proportional to 729,854.72, 1,007,190 and 407,570.48 is: 562,441.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    729,854.72 : 1,007,190 = 407,570.48 : x
  2. Step 2: Convert to fraction form
    729,854.72/1,007,190 = 407,570.48/x
  3. Step 3: Cross multiply
    729,854.72x = 1,007,190 × 407,570.48
  4. Step 4: Simplify right side
    729,854.72x = 410,500,911,751.20
  5. Step 5: Solve for x
    x = 410,500,911,751.20/729,854.72
  6. Step 6: Final answer
    x = 562,441.95

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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.