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Finding the Fourth Proportional to 614,355.51, 920,867.60 and 314,424.87

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Solution

The fourth proportional to 614,355.51, 920,867.60 and 314,424.87 is: 471,296.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,355.51 : 920,867.60 = 314,424.87 : x
  2. Step 2: Convert to fraction form
    614,355.51/920,867.60 = 314,424.87/x
  3. Step 3: Cross multiply
    614,355.51x = 920,867.60 × 314,424.87
  4. Step 4: Simplify right side
    614,355.51x = 289,543,675,417.21
  5. Step 5: Solve for x
    x = 289,543,675,417.21/614,355.51
  6. Step 6: Final answer
    x = 471,296.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.