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Finding the Fourth Proportional to 474,503.20, 654,813.68 and 259,643.21

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Solution

The fourth proportional to 474,503.20, 654,813.68 and 259,643.21 is: 358,307.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,503.20 : 654,813.68 = 259,643.21 : x
  2. Step 2: Convert to fraction form
    474,503.20/654,813.68 = 259,643.21/x
  3. Step 3: Cross multiply
    474,503.20x = 654,813.68 × 259,643.21
  4. Step 4: Simplify right side
    474,503.20x = 170,017,921,254.83
  5. Step 5: Solve for x
    x = 170,017,921,254.83/474,503.20
  6. Step 6: Final answer
    x = 358,307.22

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Why These Related Problems?

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