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Finding the Fourth Proportional to 706,297, 974,474.40 and 400,324.36

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Solution

The fourth proportional to 706,297, 974,474.40 and 400,324.36 is: 552,325.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    706,297 : 974,474.40 = 400,324.36 : x
  2. Step 2: Convert to fraction form
    706,297/974,474.40 = 400,324.36/x
  3. Step 3: Cross multiply
    706,297x = 974,474.40 × 400,324.36
  4. Step 4: Simplify right side
    706,297x = 390,105,840,516.38
  5. Step 5: Solve for x
    x = 390,105,840,516.38/706,297
  6. Step 6: Final answer
    x = 552,325.50

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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.