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Finding the Fourth Proportional to 283,037.55, 390,647.64 and 162,259.93

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Solution

The fourth proportional to 283,037.55, 390,647.64 and 162,259.93 is: 223,950.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,037.55 : 390,647.64 = 162,259.93 : x
  2. Step 2: Convert to fraction form
    283,037.55/390,647.64 = 162,259.93/x
  3. Step 3: Cross multiply
    283,037.55x = 390,647.64 × 162,259.93
  4. Step 4: Simplify right side
    283,037.55x = 63,386,458,721.07
  5. Step 5: Solve for x
    x = 63,386,458,721.07/283,037.55
  6. Step 6: Final answer
    x = 223,950.70

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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.