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Finding the Fourth Proportional to 566,489.50, 780,266.32 and 435,416.50

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Solution

The fourth proportional to 566,489.50, 780,266.32 and 435,416.50 is: 599,730.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    566,489.50 : 780,266.32 = 435,416.50 : x
  2. Step 2: Convert to fraction form
    566,489.50/780,266.32 = 435,416.50/x
  3. Step 3: Cross multiply
    566,489.50x = 780,266.32 × 435,416.50
  4. Step 4: Simplify right side
    566,489.50x = 339,740,830,122.28
  5. Step 5: Solve for x
    x = 339,740,830,122.28/566,489.50
  6. Step 6: Final answer
    x = 599,730.15

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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.