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Finding the Fourth Proportional to 661,838.16, 992,381.40 and 451,730.64

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Solution

The fourth proportional to 661,838.16, 992,381.40 and 451,730.64 is: 677,339.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    661,838.16 : 992,381.40 = 451,730.64 : x
  2. Step 2: Convert to fraction form
    661,838.16/992,381.40 = 451,730.64/x
  3. Step 3: Cross multiply
    661,838.16x = 992,381.40 × 451,730.64
  4. Step 4: Simplify right side
    661,838.16x = 448,289,084,946.10
  5. Step 5: Solve for x
    x = 448,289,084,946.10/661,838.16
  6. Step 6: Final answer
    x = 677,339.43

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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.