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Finding the Fourth Proportional to 713,656.31, 984,754.95 and 407,752.50

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Solution

The fourth proportional to 713,656.31, 984,754.95 and 407,752.50 is: 562,646.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,656.31 : 984,754.95 = 407,752.50 : x
  2. Step 2: Convert to fraction form
    713,656.31/984,754.95 = 407,752.50/x
  3. Step 3: Cross multiply
    713,656.31x = 984,754.95 × 407,752.50
  4. Step 4: Simplify right side
    713,656.31x = 401,536,292,749.88
  5. Step 5: Solve for x
    x = 401,536,292,749.88/713,656.31
  6. Step 6: Final answer
    x = 562,646.60

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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.