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Finding the Fourth Proportional to 543,534.23, 748,842.98 and 420,603.86

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Solution

The fourth proportional to 543,534.23, 748,842.98 and 420,603.86 is: 579,478.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,534.23 : 748,842.98 = 420,603.86 : x
  2. Step 2: Convert to fraction form
    543,534.23/748,842.98 = 420,603.86/x
  3. Step 3: Cross multiply
    543,534.23x = 748,842.98 × 420,603.86
  4. Step 4: Simplify right side
    543,534.23x = 314,966,242,074.67
  5. Step 5: Solve for x
    x = 314,966,242,074.67/543,534.23
  6. Step 6: Final answer
    x = 579,478.21

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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.