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Finding the Fourth Proportional to 464,394.88, 640,712.64 and 260,416

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Solution

The fourth proportional to 464,394.88, 640,712.64 and 260,416 is: 359,288.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,394.88 : 640,712.64 = 260,416 : x
  2. Step 2: Convert to fraction form
    464,394.88/640,712.64 = 260,416/x
  3. Step 3: Cross multiply
    464,394.88x = 640,712.64 × 260,416
  4. Step 4: Simplify right side
    464,394.88x = 166,851,822,858.24
  5. Step 5: Solve for x
    x = 166,851,822,858.24/464,394.88
  6. Step 6: Final answer
    x = 359,288.68

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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.