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Finding the Fourth Proportional to 346,497, 478,165.86 and 187,521

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Solution

The fourth proportional to 346,497, 478,165.86 and 187,521 is: 258,778.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,497 : 478,165.86 = 187,521 : x
  2. Step 2: Convert to fraction form
    346,497/478,165.86 = 187,521/x
  3. Step 3: Cross multiply
    346,497x = 478,165.86 × 187,521
  4. Step 4: Simplify right side
    346,497x = 89,666,140,233.06
  5. Step 5: Solve for x
    x = 89,666,140,233.06/346,497
  6. Step 6: Final answer
    x = 258,778.98

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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.