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Finding the Fourth Proportional to 346,477, 478,138.50 and 187,501

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Solution

The fourth proportional to 346,477, 478,138.50 and 187,501 is: 258,751.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,477 : 478,138.50 = 187,501 : x
  2. Step 2: Convert to fraction form
    346,477/478,138.50 = 187,501/x
  3. Step 3: Cross multiply
    346,477x = 478,138.50 × 187,501
  4. Step 4: Simplify right side
    346,477x = 89,651,446,888.50
  5. Step 5: Solve for x
    x = 89,651,446,888.50/346,477
  6. Step 6: Final answer
    x = 258,751.51

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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.