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Finding the Fourth Proportional to 491,030.60, 735,768.30 and 411,715.40

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Solution

The fourth proportional to 491,030.60, 735,768.30 and 411,715.40 is: 616,921.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,030.60 : 735,768.30 = 411,715.40 : x
  2. Step 2: Convert to fraction form
    491,030.60/735,768.30 = 411,715.40/x
  3. Step 3: Cross multiply
    491,030.60x = 735,768.30 × 411,715.40
  4. Step 4: Simplify right side
    491,030.60x = 302,927,139,941.82
  5. Step 5: Solve for x
    x = 302,927,139,941.82/491,030.60
  6. Step 6: Final answer
    x = 616,921.10

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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.