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Finding the Fourth Proportional to 559,689.94, 772,390.14 and 317,968.12

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Solution

The fourth proportional to 559,689.94, 772,390.14 and 317,968.12 is: 438,806.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    559,689.94 : 772,390.14 = 317,968.12 : x
  2. Step 2: Convert to fraction form
    559,689.94/772,390.14 = 317,968.12/x
  3. Step 3: Cross multiply
    559,689.94x = 772,390.14 × 317,968.12
  4. Step 4: Simplify right side
    559,689.94x = 245,595,440,722.34
  5. Step 5: Solve for x
    x = 245,595,440,722.34/559,689.94
  6. Step 6: Final answer
    x = 438,806.24

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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.