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Finding the Fourth Proportional to 286,564.80, 429,847.20 and 274,430.40

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Solution

The fourth proportional to 286,564.80, 429,847.20 and 274,430.40 is: 411,645.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,564.80 : 429,847.20 = 274,430.40 : x
  2. Step 2: Convert to fraction form
    286,564.80/429,847.20 = 274,430.40/x
  3. Step 3: Cross multiply
    286,564.80x = 429,847.20 × 274,430.40
  4. Step 4: Simplify right side
    286,564.80x = 117,963,139,034.88
  5. Step 5: Solve for x
    x = 117,963,139,034.88/286,564.80
  6. Step 6: Final answer
    x = 411,645.60

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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.