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Finding the Fourth Proportional to 346,151, 477,688.38 and 187,175

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Solution

The fourth proportional to 346,151, 477,688.38 and 187,175 is: 258,301.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,151 : 477,688.38 = 187,175 : x
  2. Step 2: Convert to fraction form
    346,151/477,688.38 = 187,175/x
  3. Step 3: Cross multiply
    346,151x = 477,688.38 × 187,175
  4. Step 4: Simplify right side
    346,151x = 89,411,322,526.50
  5. Step 5: Solve for x
    x = 89,411,322,526.50/346,151
  6. Step 6: Final answer
    x = 258,301.50

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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.