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Finding the Fourth Proportional to 705,644,537.53, 973,911,348.67 and 408,450,643.71

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Solution

The fourth proportional to 705,644,537.53, 973,911,348.67 and 408,450,643.71 is: 563,732,440.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    705,644,537.53 : 973,911,348.67 = 408,450,643.71 : x
  2. Step 2: Convert to fraction form
    705,644,537.53/973,911,348.67 = 408,450,643.71/x
  3. Step 3: Cross multiply
    705,644,537.53x = 973,911,348.67 × 408,450,643.71
  4. Step 4: Simplify right side
    705,644,537.53x = 397,794,717,280,735,744
  5. Step 5: Solve for x
    x = 397,794,717,280,735,744/705,644,537.53
  6. Step 6: Final answer
    x = 563,732,440.52

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.