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Finding the Fourth Proportional to 346,566, 478,262.52 and 187,590

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Solution

The fourth proportional to 346,566, 478,262.52 and 187,590 is: 258,874.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,566 : 478,262.52 = 187,590 : x
  2. Step 2: Convert to fraction form
    346,566/478,262.52 = 187,590/x
  3. Step 3: Cross multiply
    346,566x = 478,262.52 × 187,590
  4. Step 4: Simplify right side
    346,566x = 89,717,266,126.80
  5. Step 5: Solve for x
    x = 89,717,266,126.80/346,566
  6. Step 6: Final answer
    x = 258,874.98

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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.