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Finding the Fourth Proportional to 288,684,953.60, 433,027,430.40 and 282,945,390.80

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Solution

The fourth proportional to 288,684,953.60, 433,027,430.40 and 282,945,390.80 is: 424,418,086.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,684,953.60 : 433,027,430.40 = 282,945,390.80 : x
  2. Step 2: Convert to fraction form
    288,684,953.60/433,027,430.40 = 282,945,390.80/x
  3. Step 3: Cross multiply
    288,684,953.60x = 433,027,430.40 × 282,945,390.80
  4. Step 4: Simplify right side
    288,684,953.60x = 122,523,115,521,647,792
  5. Step 5: Solve for x
    x = 122,523,115,521,647,792/288,684,953.60
  6. Step 6: Final answer
    x = 424,418,086.20

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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.