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Finding the Fourth Proportional to 393,075.40, 589,613.06 and 97,587.40

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Solution

The fourth proportional to 393,075.40, 589,613.06 and 97,587.40 is: 146,381.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,075.40 : 589,613.06 = 97,587.40 : x
  2. Step 2: Convert to fraction form
    393,075.40/589,613.06 = 97,587.40/x
  3. Step 3: Cross multiply
    393,075.40x = 589,613.06 × 97,587.40
  4. Step 4: Simplify right side
    393,075.40x = 57,538,805,531.44
  5. Step 5: Solve for x
    x = 57,538,805,531.44/393,075.40
  6. Step 6: Final answer
    x = 146,381.09

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.