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Finding the Fourth Proportional to 585,225, 807,610.50 and 316,953

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Solution

The fourth proportional to 585,225, 807,610.50 and 316,953 is: 437,395.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    585,225 : 807,610.50 = 316,953 : x
  2. Step 2: Convert to fraction form
    585,225/807,610.50 = 316,953/x
  3. Step 3: Cross multiply
    585,225x = 807,610.50 × 316,953
  4. Step 4: Simplify right side
    585,225x = 255,974,570,806.50
  5. Step 5: Solve for x
    x = 255,974,570,806.50/585,225
  6. Step 6: Final answer
    x = 437,395.14

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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.