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Finding the Fourth Proportional to 478,020, 659,699.10 and 276,816

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Solution

The fourth proportional to 478,020, 659,699.10 and 276,816 is: 382,024.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,020 : 659,699.10 = 276,816 : x
  2. Step 2: Convert to fraction form
    478,020/659,699.10 = 276,816/x
  3. Step 3: Cross multiply
    478,020x = 659,699.10 × 276,816
  4. Step 4: Simplify right side
    478,020x = 182,615,266,065.60
  5. Step 5: Solve for x
    x = 182,615,266,065.60/478,020
  6. Step 6: Final answer
    x = 382,024.32

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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.