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Finding the Fourth Proportional to 583,350, 805,023.54 and 315,078

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Solution

The fourth proportional to 583,350, 805,023.54 and 315,078 is: 434,807.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    583,350 : 805,023.54 = 315,078 : x
  2. Step 2: Convert to fraction form
    583,350/805,023.54 = 315,078/x
  3. Step 3: Cross multiply
    583,350x = 805,023.54 × 315,078
  4. Step 4: Simplify right side
    583,350x = 253,645,206,936.12
  5. Step 5: Solve for x
    x = 253,645,206,936.12/583,350
  6. Step 6: Final answer
    x = 434,807.93

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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.