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Finding the Fourth Proportional to 523,315.86, 721,986.93 and 296,830.14

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Solution

The fourth proportional to 523,315.86, 721,986.93 and 296,830.14 is: 409,518.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,315.86 : 721,986.93 = 296,830.14 : x
  2. Step 2: Convert to fraction form
    523,315.86/721,986.93 = 296,830.14/x
  3. Step 3: Cross multiply
    523,315.86x = 721,986.93 × 296,830.14
  4. Step 4: Simplify right side
    523,315.86x = 214,307,481,510.07
  5. Step 5: Solve for x
    x = 214,307,481,510.07/523,315.86
  6. Step 6: Final answer
    x = 409,518.41

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1.5x scale

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.