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Finding the Fourth Proportional to 346,476, 478,137.12 and 187,500

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Solution

The fourth proportional to 346,476, 478,137.12 and 187,500 is: 258,750.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,476 : 478,137.12 = 187,500 : x
  2. Step 2: Convert to fraction form
    346,476/478,137.12 = 187,500/x
  3. Step 3: Cross multiply
    346,476x = 478,137.12 × 187,500
  4. Step 4: Simplify right side
    346,476x = 89,650,710,000
  5. Step 5: Solve for x
    x = 89,650,710,000/346,476
  6. Step 6: Final answer
    x = 258,750.13

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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.