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Finding the Fourth Proportional to 402,860.90, 603,307.20 and 302,477.60

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Solution

The fourth proportional to 402,860.90, 603,307.20 and 302,477.60 is: 452,977.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,860.90 : 603,307.20 = 302,477.60 : x
  2. Step 2: Convert to fraction form
    402,860.90/603,307.20 = 302,477.60/x
  3. Step 3: Cross multiply
    402,860.90x = 603,307.20 × 302,477.60
  4. Step 4: Simplify right side
    402,860.90x = 182,486,913,918.72
  5. Step 5: Solve for x
    x = 182,486,913,918.72/402,860.90
  6. Step 6: Final answer
    x = 452,977.48

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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.