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Finding the Fourth Proportional to 706,438.68, 974,855.76 and 400,535.64

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Solution

The fourth proportional to 706,438.68, 974,855.76 and 400,535.64 is: 552,722.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    706,438.68 : 974,855.76 = 400,535.64 : x
  2. Step 2: Convert to fraction form
    706,438.68/974,855.76 = 400,535.64/x
  3. Step 3: Cross multiply
    706,438.68x = 974,855.76 × 400,535.64
  4. Step 4: Simplify right side
    706,438.68x = 390,464,475,739.29
  5. Step 5: Solve for x
    x = 390,464,475,739.29/706,438.68
  6. Step 6: Final answer
    x = 552,722.39

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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.