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Finding the Fourth Proportional to 500,435.77, 750,763.94 and 145,477.47

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Solution

The fourth proportional to 500,435.77, 750,763.94 and 145,477.47 is: 218,248.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,435.77 : 750,763.94 = 145,477.47 : x
  2. Step 2: Convert to fraction form
    500,435.77/750,763.94 = 145,477.47/x
  3. Step 3: Cross multiply
    500,435.77x = 750,763.94 × 145,477.47
  4. Step 4: Simplify right side
    500,435.77x = 109,219,237,241.67
  5. Step 5: Solve for x
    x = 109,219,237,241.67/500,435.77
  6. Step 6: Final answer
    x = 218,248.26

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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.