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Finding the Fourth Proportional to 472,393,691.70, 708,590,537.55 and 355,996,302.90

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Solution

The fourth proportional to 472,393,691.70, 708,590,537.55 and 355,996,302.90 is: 533,994,454.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,393,691.70 : 708,590,537.55 = 355,996,302.90 : x
  2. Step 2: Convert to fraction form
    472,393,691.70/708,590,537.55 = 355,996,302.90/x
  3. Step 3: Cross multiply
    472,393,691.70x = 708,590,537.55 × 355,996,302.90
  4. Step 4: Simplify right side
    472,393,691.70x = 252,255,611,637,723,584
  5. Step 5: Solve for x
    x = 252,255,611,637,723,584/472,393,691.70
  6. Step 6: Final answer
    x = 533,994,454.35

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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.