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Finding the Fourth Proportional to 469,943.93, 648,859.65 and 288,898.58

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Solution

The fourth proportional to 469,943.93, 648,859.65 and 288,898.58 is: 398,887.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,943.93 : 648,859.65 = 288,898.58 : x
  2. Step 2: Convert to fraction form
    469,943.93/648,859.65 = 288,898.58/x
  3. Step 3: Cross multiply
    469,943.93x = 648,859.65 × 288,898.58
  4. Step 4: Simplify right side
    469,943.93x = 187,454,632,043.08
  5. Step 5: Solve for x
    x = 187,454,632,043.08/469,943.93
  6. Step 6: Final answer
    x = 398,887.23

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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.