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Finding the Fourth Proportional to 423,266.40, 634,899.60 and 417,045.60

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Solution

The fourth proportional to 423,266.40, 634,899.60 and 417,045.60 is: 625,568.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,266.40 : 634,899.60 = 417,045.60 : x
  2. Step 2: Convert to fraction form
    423,266.40/634,899.60 = 417,045.60/x
  3. Step 3: Cross multiply
    423,266.40x = 634,899.60 × 417,045.60
  4. Step 4: Simplify right side
    423,266.40x = 264,782,084,621.76
  5. Step 5: Solve for x
    x = 264,782,084,621.76/423,266.40
  6. Step 6: Final answer
    x = 625,568.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.