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Finding the Fourth Proportional to 478,844, 660,331.28 and 406,444.60

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Solution

The fourth proportional to 478,844, 660,331.28 and 406,444.60 is: 560,491.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,844 : 660,331.28 = 406,444.60 : x
  2. Step 2: Convert to fraction form
    478,844/660,331.28 = 406,444.60/x
  3. Step 3: Cross multiply
    478,844x = 660,331.28 × 406,444.60
  4. Step 4: Simplify right side
    478,844x = 268,388,082,967.09
  5. Step 5: Solve for x
    x = 268,388,082,967.09/478,844
  6. Step 6: Final answer
    x = 560,491.69

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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.