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Finding the Fourth Proportional to 415,862.80, 624,085.80 and 266,466.40

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Solution

The fourth proportional to 415,862.80, 624,085.80 and 266,466.40 is: 399,886.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,862.80 : 624,085.80 = 266,466.40 : x
  2. Step 2: Convert to fraction form
    415,862.80/624,085.80 = 266,466.40/x
  3. Step 3: Cross multiply
    415,862.80x = 624,085.80 × 266,466.40
  4. Step 4: Simplify right side
    415,862.80x = 166,297,896,417.12
  5. Step 5: Solve for x
    x = 166,297,896,417.12/415,862.80
  6. Step 6: Final answer
    x = 399,886.44

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1.5x scale

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.