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Finding the Fourth Proportional to 287,409,813.60, 431,114,720.40 and 82,944,559.20

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Solution

The fourth proportional to 287,409,813.60, 431,114,720.40 and 82,944,559.20 is: 124,416,838.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,409,813.60 : 431,114,720.40 = 82,944,559.20 : x
  2. Step 2: Convert to fraction form
    287,409,813.60/431,114,720.40 = 82,944,559.20/x
  3. Step 3: Cross multiply
    287,409,813.60x = 431,114,720.40 × 82,944,559.20
  4. Step 4: Simplify right side
    287,409,813.60x = 35,758,620,448,209,248
  5. Step 5: Solve for x
    x = 35,758,620,448,209,248/287,409,813.60
  6. Step 6: Final answer
    x = 124,416,838.80

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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.