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Finding the Fourth Proportional to 638,646.31, 958,633.77 and 470,356.66

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Solution

The fourth proportional to 638,646.31, 958,633.77 and 470,356.66 is: 706,024.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    638,646.31 : 958,633.77 = 470,356.66 : x
  2. Step 2: Convert to fraction form
    638,646.31/958,633.77 = 470,356.66/x
  3. Step 3: Cross multiply
    638,646.31x = 958,633.77 × 470,356.66
  4. Step 4: Simplify right side
    638,646.31x = 450,899,778,220.41
  5. Step 5: Solve for x
    x = 450,899,778,220.41/638,646.31
  6. Step 6: Final answer
    x = 706,024.24

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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.