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Finding the Fourth Proportional to 464,483.45, 640,992.55 and 257,756.16

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Solution

The fourth proportional to 464,483.45, 640,992.55 and 257,756.16 is: 355,706.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,483.45 : 640,992.55 = 257,756.16 : x
  2. Step 2: Convert to fraction form
    464,483.45/640,992.55 = 257,756.16/x
  3. Step 3: Cross multiply
    464,483.45x = 640,992.55 × 257,756.16
  4. Step 4: Simplify right side
    464,483.45x = 165,219,778,276.61
  5. Step 5: Solve for x
    x = 165,219,778,276.61/464,483.45
  6. Step 6: Final answer
    x = 355,706.49

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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.