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Finding the Fourth Proportional to 729,000.73, 1,006,021.64 and 406,710.90

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Solution

The fourth proportional to 729,000.73, 1,006,021.64 and 406,710.90 is: 561,261.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    729,000.73 : 1,006,021.64 = 406,710.90 : x
  2. Step 2: Convert to fraction form
    729,000.73/1,006,021.64 = 406,710.90/x
  3. Step 3: Cross multiply
    729,000.73x = 1,006,021.64 × 406,710.90
  4. Step 4: Simplify right side
    729,000.73x = 409,159,963,868.07
  5. Step 5: Solve for x
    x = 409,159,963,868.07/729,000.73
  6. Step 6: Final answer
    x = 561,261.39

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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.