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Finding the Fourth Proportional to 630,546, 870,150.36 and 344,065.20

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Solution

The fourth proportional to 630,546, 870,150.36 and 344,065.20 is: 474,808.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    630,546 : 870,150.36 = 344,065.20 : x
  2. Step 2: Convert to fraction form
    630,546/870,150.36 = 344,065.20/x
  3. Step 3: Cross multiply
    630,546x = 870,150.36 × 344,065.20
  4. Step 4: Simplify right side
    630,546x = 299,388,457,643.47
  5. Step 5: Solve for x
    x = 299,388,457,643.47/630,546
  6. Step 6: Final answer
    x = 474,808.27

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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.