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Finding the Fourth Proportional to 712,825.50, 983,457 and 406,681.95

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Solution

The fourth proportional to 712,825.50, 983,457 and 406,681.95 is: 561,082.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    712,825.50 : 983,457 = 406,681.95 : x
  2. Step 2: Convert to fraction form
    712,825.50/983,457 = 406,681.95/x
  3. Step 3: Cross multiply
    712,825.50x = 983,457 × 406,681.95
  4. Step 4: Simplify right side
    712,825.50x = 399,954,210,501.15
  5. Step 5: Solve for x
    x = 399,954,210,501.15/712,825.50
  6. Step 6: Final answer
    x = 561,082.92

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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.