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Finding the Fourth Proportional to 357,143.07, 535,681.81 and 120,487.80

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Solution

The fourth proportional to 357,143.07, 535,681.81 and 120,487.80 is: 180,720.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,143.07 : 535,681.81 = 120,487.80 : x
  2. Step 2: Convert to fraction form
    357,143.07/535,681.81 = 120,487.80/x
  3. Step 3: Cross multiply
    357,143.07x = 535,681.81 × 120,487.80
  4. Step 4: Simplify right side
    357,143.07x = 64,543,124,268.59
  5. Step 5: Solve for x
    x = 64,543,124,268.59/357,143.07
  6. Step 6: Final answer
    x = 180,720.64

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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.