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Finding the Fourth Proportional to 712,064.70, 982,624.82 and 406,240.08

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Solution

The fourth proportional to 712,064.70, 982,624.82 and 406,240.08 is: 560,597.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    712,064.70 : 982,624.82 = 406,240.08 : x
  2. Step 2: Convert to fraction form
    712,064.70/982,624.82 = 406,240.08/x
  3. Step 3: Cross multiply
    712,064.70x = 982,624.82 × 406,240.08
  4. Step 4: Simplify right side
    712,064.70x = 399,181,583,455.59
  5. Step 5: Solve for x
    x = 399,181,583,455.59/712,064.70
  6. Step 6: Final answer
    x = 560,597.35

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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.