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Finding the Fourth Proportional to 233,045.31, 321,646.75 and 145,870.86

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Solution

The fourth proportional to 233,045.31, 321,646.75 and 145,870.86 is: 201,329.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,045.31 : 321,646.75 = 145,870.86 : x
  2. Step 2: Convert to fraction form
    233,045.31/321,646.75 = 145,870.86/x
  3. Step 3: Cross multiply
    233,045.31x = 321,646.75 × 145,870.86
  4. Step 4: Simplify right side
    233,045.31x = 46,918,888,675.07
  5. Step 5: Solve for x
    x = 46,918,888,675.07/233,045.31
  6. Step 6: Final answer
    x = 201,329.47

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1.5x scale

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.