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Finding the Fourth Proportional to 382,707.71, 528,116.95 and 210,642.02

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Solution

The fourth proportional to 382,707.71, 528,116.95 and 210,642.02 is: 290,675.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,707.71 : 528,116.95 = 210,642.02 : x
  2. Step 2: Convert to fraction form
    382,707.71/528,116.95 = 210,642.02/x
  3. Step 3: Cross multiply
    382,707.71x = 528,116.95 × 210,642.02
  4. Step 4: Simplify right side
    382,707.71x = 111,243,617,977.05
  5. Step 5: Solve for x
    x = 111,243,617,977.05/382,707.71
  6. Step 6: Final answer
    x = 290,675.14

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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.