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Finding the Fourth Proportional to 899,959,206.42, 1,347,737,423.07 and 812,717,877.78

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Solution

The fourth proportional to 899,959,206.42, 1,347,737,423.07 and 812,717,877.78 is: 1,217,088,830.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    899,959,206.42 : 1,347,737,423.07 = 812,717,877.78 : x
  2. Step 2: Convert to fraction form
    899,959,206.42/1,347,737,423.07 = 812,717,877.78/x
  3. Step 3: Cross multiply
    899,959,206.42x = 1,347,737,423.07 × 812,717,877.78
  4. Step 4: Simplify right side
    899,959,206.42x = 1,095,330,298,282,136,320
  5. Step 5: Solve for x
    x = 1,095,330,298,282,136,320/899,959,206.42
  6. Step 6: Final answer
    x = 1,217,088,830.77

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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.