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Finding the Fourth Proportional to 647,423,135.90, 971,134,703.85 and 572,596,243.10

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Solution

The fourth proportional to 647,423,135.90, 971,134,703.85 and 572,596,243.10 is: 858,894,364.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,423,135.90 : 971,134,703.85 = 572,596,243.10 : x
  2. Step 2: Convert to fraction form
    647,423,135.90/971,134,703.85 = 572,596,243.10/x
  3. Step 3: Cross multiply
    647,423,135.90x = 971,134,703.85 × 572,596,243.10
  4. Step 4: Simplify right side
    647,423,135.90x = 556,068,082,968,541,120
  5. Step 5: Solve for x
    x = 556,068,082,968,541,120/647,423,135.90
  6. Step 6: Final answer
    x = 858,894,364.65

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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.