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Finding the Fourth Proportional to 712,662.24, 983,420.55 and 406,730.10

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Solution

The fourth proportional to 712,662.24, 983,420.55 and 406,730.10 is: 561,257.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    712,662.24 : 983,420.55 = 406,730.10 : x
  2. Step 2: Convert to fraction form
    712,662.24/983,420.55 = 406,730.10/x
  3. Step 3: Cross multiply
    712,662.24x = 983,420.55 × 406,730.10
  4. Step 4: Simplify right side
    712,662.24x = 399,986,738,643.56
  5. Step 5: Solve for x
    x = 399,986,738,643.56/712,662.24
  6. Step 6: Final answer
    x = 561,257.10

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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.