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Finding the Fourth Proportional to 342,681.60, 514,022.40 and 254,108.10

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Solution

The fourth proportional to 342,681.60, 514,022.40 and 254,108.10 is: 381,162.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,681.60 : 514,022.40 = 254,108.10 : x
  2. Step 2: Convert to fraction form
    342,681.60/514,022.40 = 254,108.10/x
  3. Step 3: Cross multiply
    342,681.60x = 514,022.40 × 254,108.10
  4. Step 4: Simplify right side
    342,681.60x = 130,617,255,421.44
  5. Step 5: Solve for x
    x = 130,617,255,421.44/342,681.60
  6. Step 6: Final answer
    x = 381,162.15

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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.