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Finding the Fourth Proportional to 459,965.70, 634,751.70 and 258,761.70

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Solution

The fourth proportional to 459,965.70, 634,751.70 and 258,761.70 is: 357,090.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,965.70 : 634,751.70 = 258,761.70 : x
  2. Step 2: Convert to fraction form
    459,965.70/634,751.70 = 258,761.70/x
  3. Step 3: Cross multiply
    459,965.70x = 634,751.70 × 258,761.70
  4. Step 4: Simplify right side
    459,965.70x = 164,249,428,969.89
  5. Step 5: Solve for x
    x = 164,249,428,969.89/459,965.70
  6. Step 6: Final answer
    x = 357,090.60

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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.