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Finding the Fourth Proportional to 307,851.40, 424,931.70 and 180,578.44

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Solution

The fourth proportional to 307,851.40, 424,931.70 and 180,578.44 is: 249,255.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,851.40 : 424,931.70 = 180,578.44 : x
  2. Step 2: Convert to fraction form
    307,851.40/424,931.70 = 180,578.44/x
  3. Step 3: Cross multiply
    307,851.40x = 424,931.70 × 180,578.44
  4. Step 4: Simplify right side
    307,851.40x = 76,733,503,492.55
  5. Step 5: Solve for x
    x = 76,733,503,492.55/307,851.40
  6. Step 6: Final answer
    x = 249,255.01

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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.