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Finding the Fourth Proportional to 426,746.16, 640,181.16 and 174,042.06

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Solution

The fourth proportional to 426,746.16, 640,181.16 and 174,042.06 is: 261,088.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,746.16 : 640,181.16 = 174,042.06 : x
  2. Step 2: Convert to fraction form
    426,746.16/640,181.16 = 174,042.06/x
  3. Step 3: Cross multiply
    426,746.16x = 640,181.16 × 174,042.06
  4. Step 4: Simplify right side
    426,746.16x = 111,418,447,859.59
  5. Step 5: Solve for x
    x = 111,418,447,859.59/426,746.16
  6. Step 6: Final answer
    x = 261,088.34

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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.