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Finding the Fourth Proportional to 318,528, 477,878.40 and 96,912

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Solution

The fourth proportional to 318,528, 477,878.40 and 96,912 is: 145,394.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,528 : 477,878.40 = 96,912 : x
  2. Step 2: Convert to fraction form
    318,528/477,878.40 = 96,912/x
  3. Step 3: Cross multiply
    318,528x = 477,878.40 × 96,912
  4. Step 4: Simplify right side
    318,528x = 46,312,151,500.80
  5. Step 5: Solve for x
    x = 46,312,151,500.80/318,528
  6. Step 6: Final answer
    x = 145,394.29

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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.