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Finding the Fourth Proportional to 567,497.12, 783,151.29 and 312,857.42

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Solution

The fourth proportional to 567,497.12, 783,151.29 and 312,857.42 is: 431,746.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,497.12 : 783,151.29 = 312,857.42 : x
  2. Step 2: Convert to fraction form
    567,497.12/783,151.29 = 312,857.42/x
  3. Step 3: Cross multiply
    567,497.12x = 783,151.29 × 312,857.42
  4. Step 4: Simplify right side
    567,497.12x = 245,014,688,143.32
  5. Step 5: Solve for x
    x = 245,014,688,143.32/567,497.12
  6. Step 6: Final answer
    x = 431,746.14

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.