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Finding the Fourth Proportional to 687,442.32, 948,457.80 and 400,759.47

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Solution

The fourth proportional to 687,442.32, 948,457.80 and 400,759.47 is: 552,924.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    687,442.32 : 948,457.80 = 400,759.47 : x
  2. Step 2: Convert to fraction form
    687,442.32/948,457.80 = 400,759.47/x
  3. Step 3: Cross multiply
    687,442.32x = 948,457.80 × 400,759.47
  4. Step 4: Simplify right side
    687,442.32x = 380,103,445,245.37
  5. Step 5: Solve for x
    x = 380,103,445,245.37/687,442.32
  6. Step 6: Final answer
    x = 552,924.13

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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.