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Finding the Fourth Proportional to 402,428.20, 604,808.70 and 351,106.60

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Solution

The fourth proportional to 402,428.20, 604,808.70 and 351,106.60 is: 527,677.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,428.20 : 604,808.70 = 351,106.60 : x
  2. Step 2: Convert to fraction form
    402,428.20/604,808.70 = 351,106.60/x
  3. Step 3: Cross multiply
    402,428.20x = 604,808.70 × 351,106.60
  4. Step 4: Simplify right side
    402,428.20x = 212,352,326,307.42
  5. Step 5: Solve for x
    x = 212,352,326,307.42/402,428.20
  6. Step 6: Final answer
    x = 527,677.55

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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.