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Finding the Fourth Proportional to 427,031.80, 640,746.96 and 190,349.80

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Solution

The fourth proportional to 427,031.80, 640,746.96 and 190,349.80 is: 285,613.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,031.80 : 640,746.96 = 190,349.80 : x
  2. Step 2: Convert to fraction form
    427,031.80/640,746.96 = 190,349.80/x
  3. Step 3: Cross multiply
    427,031.80x = 640,746.96 × 190,349.80
  4. Step 4: Simplify right side
    427,031.80x = 121,966,055,686.61
  5. Step 5: Solve for x
    x = 121,966,055,686.61/427,031.80
  6. Step 6: Final answer
    x = 285,613.52

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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.