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Finding the Fourth Proportional to 346,628, 478,346.64 and 187,652

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Solution

The fourth proportional to 346,628, 478,346.64 and 187,652 is: 258,959.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,628 : 478,346.64 = 187,652 : x
  2. Step 2: Convert to fraction form
    346,628/478,346.64 = 187,652/x
  3. Step 3: Cross multiply
    346,628x = 478,346.64 × 187,652
  4. Step 4: Simplify right side
    346,628x = 89,762,703,689.28
  5. Step 5: Solve for x
    x = 89,762,703,689.28/346,628
  6. Step 6: Final answer
    x = 258,959.76

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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.