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Finding the Fourth Proportional to 905,720, 1,249,575 and 543,261.20

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Solution

The fourth proportional to 905,720, 1,249,575 and 543,261.20 is: 749,509.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    905,720 : 1,249,575 = 543,261.20 : x
  2. Step 2: Convert to fraction form
    905,720/1,249,575 = 543,261.20/x
  3. Step 3: Cross multiply
    905,720x = 1,249,575 × 543,261.20
  4. Step 4: Simplify right side
    905,720x = 678,845,613,990
  5. Step 5: Solve for x
    x = 678,845,613,990/905,720
  6. Step 6: Final answer
    x = 749,509.36

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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.