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Finding the Fourth Proportional to 346,592, 478,298.24 and 187,616

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Solution

The fourth proportional to 346,592, 478,298.24 and 187,616 is: 258,910.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,592 : 478,298.24 = 187,616 : x
  2. Step 2: Convert to fraction form
    346,592/478,298.24 = 187,616/x
  3. Step 3: Cross multiply
    346,592x = 478,298.24 × 187,616
  4. Step 4: Simplify right side
    346,592x = 89,736,402,595.84
  5. Step 5: Solve for x
    x = 89,736,402,595.84/346,592
  6. Step 6: Final answer
    x = 258,910.77

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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.