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Finding the Fourth Proportional to 395,570.40, 545,888.16 and 214,283.04

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Solution

The fourth proportional to 395,570.40, 545,888.16 and 214,283.04 is: 295,711.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,570.40 : 545,888.16 = 214,283.04 : x
  2. Step 2: Convert to fraction form
    395,570.40/545,888.16 = 214,283.04/x
  3. Step 3: Cross multiply
    395,570.40x = 545,888.16 × 214,283.04
  4. Step 4: Simplify right side
    395,570.40x = 116,974,574,424.81
  5. Step 5: Solve for x
    x = 116,974,574,424.81/395,570.40
  6. Step 6: Final answer
    x = 295,711.14

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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.