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Finding the Fourth Proportional to 438,323.80, 657,485.70 and 405,518.80

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Solution

The fourth proportional to 438,323.80, 657,485.70 and 405,518.80 is: 608,278.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,323.80 : 657,485.70 = 405,518.80 : x
  2. Step 2: Convert to fraction form
    438,323.80/657,485.70 = 405,518.80/x
  3. Step 3: Cross multiply
    438,323.80x = 657,485.70 × 405,518.80
  4. Step 4: Simplify right side
    438,323.80x = 266,622,812,081.16
  5. Step 5: Solve for x
    x = 266,622,812,081.16/438,323.80
  6. Step 6: Final answer
    x = 608,278.20

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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.