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Finding the Fourth Proportional to 257,307.55, 355,084.44 and 144,130.30

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Solution

The fourth proportional to 257,307.55, 355,084.44 and 144,130.30 is: 198,899.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,307.55 : 355,084.44 = 144,130.30 : x
  2. Step 2: Convert to fraction form
    257,307.55/355,084.44 = 144,130.30/x
  3. Step 3: Cross multiply
    257,307.55x = 355,084.44 × 144,130.30
  4. Step 4: Simplify right side
    257,307.55x = 51,178,426,862.53
  5. Step 5: Solve for x
    x = 51,178,426,862.53/257,307.55
  6. Step 6: Final answer
    x = 198,899.83

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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.