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Finding the Fourth Proportional to 346,578, 478,277.64 and 187,602

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Solution

The fourth proportional to 346,578, 478,277.64 and 187,602 is: 258,890.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,578 : 478,277.64 = 187,602 : x
  2. Step 2: Convert to fraction form
    346,578/478,277.64 = 187,602/x
  3. Step 3: Cross multiply
    346,578x = 478,277.64 × 187,602
  4. Step 4: Simplify right side
    346,578x = 89,725,841,819.28
  5. Step 5: Solve for x
    x = 89,725,841,819.28/346,578
  6. Step 6: Final answer
    x = 258,890.76

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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.