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Finding the Fourth Proportional to 346,564, 478,259.76 and 187,588

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Solution

The fourth proportional to 346,564, 478,259.76 and 187,588 is: 258,872.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,564 : 478,259.76 = 187,588 : x
  2. Step 2: Convert to fraction form
    346,564/478,259.76 = 187,588/x
  3. Step 3: Cross multiply
    346,564x = 478,259.76 × 187,588
  4. Step 4: Simplify right side
    346,564x = 89,715,791,858.88
  5. Step 5: Solve for x
    x = 89,715,791,858.88/346,564
  6. Step 6: Final answer
    x = 258,872.22

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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.