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Finding the Fourth Proportional to 542,010.51, 747,954.65 and 312,577.47

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Solution

The fourth proportional to 542,010.51, 747,954.65 and 312,577.47 is: 431,345.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,010.51 : 747,954.65 = 312,577.47 : x
  2. Step 2: Convert to fraction form
    542,010.51/747,954.65 = 312,577.47/x
  3. Step 3: Cross multiply
    542,010.51x = 747,954.65 × 312,577.47
  4. Step 4: Simplify right side
    542,010.51x = 233,793,772,953.18
  5. Step 5: Solve for x
    x = 233,793,772,953.18/542,010.51
  6. Step 6: Final answer
    x = 431,345.46

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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.