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Finding the Fourth Proportional to 473,733, 653,299.74 and 310,145.40

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Solution

The fourth proportional to 473,733, 653,299.74 and 310,145.40 is: 427,704.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,733 : 653,299.74 = 310,145.40 : x
  2. Step 2: Convert to fraction form
    473,733/653,299.74 = 310,145.40/x
  3. Step 3: Cross multiply
    473,733x = 653,299.74 × 310,145.40
  4. Step 4: Simplify right side
    473,733x = 202,617,909,182.20
  5. Step 5: Solve for x
    x = 202,617,909,182.20/473,733
  6. Step 6: Final answer
    x = 427,704.87

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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.