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Finding the Fourth Proportional to 284,709,782.80, 427,064,674.20 and 131,654,774.80

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Solution

The fourth proportional to 284,709,782.80, 427,064,674.20 and 131,654,774.80 is: 197,482,162.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,709,782.80 : 427,064,674.20 = 131,654,774.80 : x
  2. Step 2: Convert to fraction form
    284,709,782.80/427,064,674.20 = 131,654,774.80/x
  3. Step 3: Cross multiply
    284,709,782.80x = 427,064,674.20 × 131,654,774.80
  4. Step 4: Simplify right side
    284,709,782.80x = 56,225,103,506,836,368
  5. Step 5: Solve for x
    x = 56,225,103,506,836,368/284,709,782.80
  6. Step 6: Final answer
    x = 197,482,162.20

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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.