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Finding the Fourth Proportional to 686,980.08, 947,705.94 and 457,643.88

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Solution

The fourth proportional to 686,980.08, 947,705.94 and 457,643.88 is: 631,331.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    686,980.08 : 947,705.94 = 457,643.88 : x
  2. Step 2: Convert to fraction form
    686,980.08/947,705.94 = 457,643.88/x
  3. Step 3: Cross multiply
    686,980.08x = 947,705.94 × 457,643.88
  4. Step 4: Simplify right side
    686,980.08x = 433,711,823,480.65
  5. Step 5: Solve for x
    x = 433,711,823,480.65/686,980.08
  6. Step 6: Final answer
    x = 631,331.00

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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.