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Finding the Fourth Proportional to 283,149.46, 390,746.14 and 155,825.05

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Solution

The fourth proportional to 283,149.46, 390,746.14 and 155,825.05 is: 215,038.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,149.46 : 390,746.14 = 155,825.05 : x
  2. Step 2: Convert to fraction form
    283,149.46/390,746.14 = 155,825.05/x
  3. Step 3: Cross multiply
    283,149.46x = 390,746.14 × 155,825.05
  4. Step 4: Simplify right side
    283,149.46x = 60,888,036,802.81
  5. Step 5: Solve for x
    x = 60,888,036,802.81/283,149.46
  6. Step 6: Final answer
    x = 215,038.51

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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.