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Finding the Fourth Proportional to 346,464, 478,120.32 and 187,488

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Solution

The fourth proportional to 346,464, 478,120.32 and 187,488 is: 258,733.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,464 : 478,120.32 = 187,488 : x
  2. Step 2: Convert to fraction form
    346,464/478,120.32 = 187,488/x
  3. Step 3: Cross multiply
    346,464x = 478,120.32 × 187,488
  4. Step 4: Simplify right side
    346,464x = 89,641,822,556.16
  5. Step 5: Solve for x
    x = 89,641,822,556.16/346,464
  6. Step 6: Final answer
    x = 258,733.44

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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.