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Finding the Fourth Proportional to 506,312, 758,971.20 and 281,780

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Solution

The fourth proportional to 506,312, 758,971.20 and 281,780 is: 422,393.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,312 : 758,971.20 = 281,780 : x
  2. Step 2: Convert to fraction form
    506,312/758,971.20 = 281,780/x
  3. Step 3: Cross multiply
    506,312x = 758,971.20 × 281,780
  4. Step 4: Simplify right side
    506,312x = 213,862,904,736
  5. Step 5: Solve for x
    x = 213,862,904,736/506,312
  6. Step 6: Final answer
    x = 422,393.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.