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Finding the Fourth Proportional to 651,045.68, 976,211.76 and 201,641.78

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Solution

The fourth proportional to 651,045.68, 976,211.76 and 201,641.78 is: 302,352.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    651,045.68 : 976,211.76 = 201,641.78 : x
  2. Step 2: Convert to fraction form
    651,045.68/976,211.76 = 201,641.78/x
  3. Step 3: Cross multiply
    651,045.68x = 976,211.76 × 201,641.78
  4. Step 4: Simplify right side
    651,045.68x = 196,845,076,543.75
  5. Step 5: Solve for x
    x = 196,845,076,543.75/651,045.68
  6. Step 6: Final answer
    x = 302,352.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.