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Finding the Fourth Proportional to 680,074.94, 938,569.66 and 507,693.58

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Solution

The fourth proportional to 680,074.94, 938,569.66 and 507,693.58 is: 700,666.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    680,074.94 : 938,569.66 = 507,693.58 : x
  2. Step 2: Convert to fraction form
    680,074.94/938,569.66 = 507,693.58/x
  3. Step 3: Cross multiply
    680,074.94x = 938,569.66 × 507,693.58
  4. Step 4: Simplify right side
    680,074.94x = 476,505,787,149.13
  5. Step 5: Solve for x
    x = 476,505,787,149.13/680,074.94
  6. Step 6: Final answer
    x = 700,666.58

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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.