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Finding the Fourth Proportional to 402,948, 556,147.35 and 230,981.22

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Solution

The fourth proportional to 402,948, 556,147.35 and 230,981.22 is: 318,799.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,948 : 556,147.35 = 230,981.22 : x
  2. Step 2: Convert to fraction form
    402,948/556,147.35 = 230,981.22/x
  3. Step 3: Cross multiply
    402,948x = 556,147.35 × 230,981.22
  4. Step 4: Simplify right side
    402,948x = 128,459,593,402.77
  5. Step 5: Solve for x
    x = 128,459,593,402.77/402,948
  6. Step 6: Final answer
    x = 318,799.43

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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.