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Finding the Fourth Proportional to 706,813.17, 975,329.34 and 420,277.91

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Solution

The fourth proportional to 706,813.17, 975,329.34 and 420,277.91 is: 579,940.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    706,813.17 : 975,329.34 = 420,277.91 : x
  2. Step 2: Convert to fraction form
    706,813.17/975,329.34 = 420,277.91/x
  3. Step 3: Cross multiply
    706,813.17x = 975,329.34 × 420,277.91
  4. Step 4: Simplify right side
    706,813.17x = 409,909,371,700.23
  5. Step 5: Solve for x
    x = 409,909,371,700.23/706,813.17
  6. Step 6: Final answer
    x = 579,940.20

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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.