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Finding the Fourth Proportional to 684,243, 944,284.50 and 382,437

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Solution

The fourth proportional to 684,243, 944,284.50 and 382,437 is: 527,779.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    684,243 : 944,284.50 = 382,437 : x
  2. Step 2: Convert to fraction form
    684,243/944,284.50 = 382,437/x
  3. Step 3: Cross multiply
    684,243x = 944,284.50 × 382,437
  4. Step 4: Simplify right side
    684,243x = 361,129,331,326.50
  5. Step 5: Solve for x
    x = 361,129,331,326.50/684,243
  6. Step 6: Final answer
    x = 527,779.36

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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.